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Publications in Biomathematics

1992   1993   1994   1995   1996   1997   1998   1999   2000   2001   2002   2003   2004   2005   2006   2007   2008   2009   2010   2011   2012   2013   2014   2015   2016   2017   2018   2019   2020   2021   in press


  • Lehtinen S. O. 2021. Ecological and evolutionary consequences of predator-prey role reversal: Allee effect and catastrophic predator extinction. J. theor. Biol. 510: 110542.


  • Cai, Y., Geritz, S. A. H. 2020. Resident-invader dynamics of similar strategies in fluctuating environments. J. Math. Biol. 81: 907-959.
  • Diekmann, O., Gyllenberg, M., Metz, J.A.J. 2020. On models of physiologically structured populations and their reduction to ordinary differential equations. J. Math. Biol. 80: 189-204.
  • Diekmann, O., Gyllenberg, M., Metz, J.A.J. 2020. Finite dimensional state representation of physiologically structured populations. J. Math. Biol. 80: 205-273.
  • Gyllenberg, M., Jiang,  J. & Niu, L. 2020. Chaotic attractors in the four-dimensional Leslie–Gower competition model. Physica D 402: 132186.
  • Gyllenberg, M., Jiang, J., Niu, L. & Yan, P. 2020. Permanence and universal classification of discrete-time competitive systems via the carrying simplex. Discrete and Continuous Dynamical Systems 40: 1621-1663.
  • Kisdi, É. 2020. TPB and the invasion of Adaptive Dynamics. Theor. Pop. Biol. 133: 52-55.
  • Kisdi É. & Geritz S.A.H. 2020. Correction to: Adaptive dynamics of saturated polymorphisms. J. Math. Biol. 80: 955–957.

  • Kisdi, É., Weigang, H. C. & Gyllenberg, M. 2020. The evolution of immigration strategies facilitates niche expansion by divergent adaptation in a structured metapopulation model. Am. Nat. 195: 1-15.


  • Chen, L., Dong, Z., Jiang, J., Niu, L., & Zhai, J. 2019. Decomposition formula and stationary measures for stochastic Lotka-Volterra system with applications to turbulent convection. Journal de Mathematiques Pures et Appliquées 125: 43-93.
  • Daoxiang, Z. & Yan, P. 2019. On the uniqueness of limit cycles in a generalized Lienard system. Qualitative Theory Systems 18: 1191–1199.

  • Getto, P., Gyllenberg, M., Nakata, Y. & Scarabel, F. 2019. Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods. J. Math. Biol. 79:281–328.
  • Gyllenberg, M., Jiang, J. & Niu, L. 2019. A note on global stability of three-dimensional Ricker models. Journal of Difference Equations and Applications 25: 142-150.
  • Gyllenberg, M., Jiang, J., Niu, L. & Yan, P. 2019. On the dynamics of multi-species Ricker models admitting a carrying simplex. Journal of Difference Equations and Applications 25: 1489-1530.  
  • Karisto, P. & Kisdi, E. 2019. Joint evolution of dispersal and connectivity. Evolution 73: 2529–2537.
  • Lehtinen, S. O. & Geritz, S. A. H. 2019.  Cyclic prey evolution with cannibalistic predators. J. theor. Biol. 479: 1-13.
  • Lehtinen, S. O. & Geritz, S. A. H. 2019. Coevolution of cannibalistic predators and timid prey: Evolutionary cycling and branching. J. theor. Biol. 483: 110001.
  • Mierczyński, J., Niu, L. & Ruiz-Herrera, A. 2019. Linearization and invariant manifolds on the carrying simplex for competitive maps. Journal of Differential Equations 267: 7385-7410.

  • Vitale, C. & Kisdi, É. 2019. Evolutionary suicide of prey: Matsuda & Abrams' model revisited. Bull. Math. Biol. 81: 4778-4802.


  • Berardo, C., Bulai, I. M., Baptista, P., Gomez, T. & Venturino, E. 2018. Modeling the endophytic fungus Epicoccum nigrum action to fight the “olive knot” disease caused by Pseudomonas savastanoi pv. savastanoi (psv) bacteria in Olea europaea L. trees. In: Mondaini, R. P. (ed.), Trends in Biomathematics: Modeling, Optimization and Computational Problems: Selected works from the BIOMAT Consortium Lectures, Moscow 2017.  Springer International Publishing AG, Vol. VII, p. 189-207.
  • Diekmann, O., Gyllenberg, M. & Metz, J.A.J. 2018. Finite dimensional state representation of linear and nonlinear delay systems. Journal of Dynamics and Differential Equations 30: 1439–1467.
  • Geritz, S. A. H., Gyllenberg, M. & Toivonen, J. 2018. Adaptive correlations between seed size and germination time. J. Math. Biol. 77: 1943-1968.
  • Gyllenberg, M., Jiang, J., Niu, L. & Yan, P. 2018. On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex. Discrete Contin. Dyn. Syst. 38: 615-650.
  • Gyllenberg, M., Scarabel, F. & Vermiglio R. 2018. Equations with infinite delay: numerical bifurcation analysis via pseudospectral discretization. Applied Mathematics and Computation 133: 490–505.

  • Lehtinen S. 2018. Understanding the Venus flytrap through mathematical modelling. J. theor. Biol. 444: 1-10.
  • Niu, L. & Ruiz-Herrera, A. 2018. Trivial dynamics in discrete-time systems: carrying simplex and translation arcs. Nonlinearity 31: 2633–2650.
  • Rybicki J., É. Kisdi & J. V. Anttila. A model of bacterial toxin-dependent pathogenesis explains infective dose. PNAS 115: 10690-10695; press release on


  • Daoxiang Z.,, Sun G., Zhao L.  & Yan P. 2017. Pattern formation and selection in a diffusive predator-prey system with ratio-dependent functional response. Acta Ecologica Sinica 37: 290-297.
  • Daoxiang Z. & Yan P.  2017. Multiple limit cycles for the continuous model of the rock-scissors-paper game between bacteriocin producing bacteria. Applied Mathematics and Computation, 295:136-140.

  • Daoxiang Z. & Yan P.  2017. Uniqueness and hyperbolicity of limit cycles for autonomous planar systems with zero diagonal coefficient. Applied Mathematics Letters 67: 75-80.
  • Daoxiang Z. & Yan P.  2017. On the Hardy-Carleman Inequality for a Negative Exponent. Journal of Mathematical Inequalities 11: 885-890.
  • Daoxiang Z. & Yan P.  2017. Necessary and sufficient conditions for the nonexistence of limit cycles of Leslie-Gower Predator-Prey models. Applied Mathematics Letters 71: 1-5.
  • Gyllenberg, M., Hanski, I. & Lindström, T. 2017. Conditional reproductive strategies under variable environmental conditions. Annales Zoologici Fennici 54: 193-204.
  • Jiang, J. & Niu, L. 2017. On the validity of Zeeman's classification for three dimensional competitive differential equations with linearly determined nullclines. Journal of Differential Equations 263: 7753-7781.

  • Karisto P. & Kisdi, É. 2017. Evolution of dispersal under variable connectivity. J. theor. Biol. 419: 52–65.
  • Wei F., Geritz S. A. H., Cai, J. 2017. A stochastic single-species population model with partial pollution tolerance in a polluted environment. Applied Mathematics Letters, 63: 130-136.
  • Weigang H. C. 2017. Coevolution of patch-type dependent emigration and patch-type dependent immigration. J. theor. Biol. 426: 140-151.
  • Boldin B. & Kisdi, É. 2016. Evolutionary suicide through a non-catastrophic bifurcation: Adaptive dynamics of pathogens with frequency-dependent transmission. J. Math. Biol. 72: 1101-1124.

  • Breda D., Diekmann O., Gyllenberg M., Scarabel F. & Vermiglio R. 2016. Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis. SIAM Journal on Applied Dynamical Systems 15: 1-23.

  • Breda D., Diekmann O., Liessi D. & Scarabel F. 2016. Numerical bifurcation analysis of a class of nonlinear renewal equations. Electronic Journal of Qualitative Theory of Differential Equations 65: 1-24.
  • Cao, F., Gyllenberg, M. & Wang, Y. 2016. Group actions on monotone skew-product semiflows with applications. Journal of the European Mathematical Society 18: 195-223.
  • Cote, J., Bocedi, G., Debeffe, L., Chdzinska M. E., Weigang H. C., Dytham C., Gonzalez G., Matthysen E., Travis J., Baguette M. & Hewison A. J. M. 2016.  Behavioural synchronization of large-scale animal movements – disperse alone, but migrate together? Biol. Rev. published online, DOI: 10.1111/brv.12279
  • Dercole, F. & Geritz, S. A. H. 2016. Unfolding the resident-invader dynamics of similar strategies. J. theor. Biol. 394: 231-254.
  • Geritz, S. A. H., Metz, J. A. J. & Rueffler, C. 2016. Mutual invadability near evolutionarily singular strategies for multivariate traits, with special reference to the strongly convergence stable case. J. Math. Biol. 72: 1081-1099.
  • Gyllenberg, M., Kisdi, É. & Weigang, H. C. 2016. On the evolution of patch-type dependent immigration. J. theor. Biol. 395: 115-125.

  • Kisdi, É. 2016. Dispersal polymorphism in stable habitats. J. theor. Biol. 392: 69–82.
  • Kisdi, É. & Geritz, S. A. H. 2016. Adaptive dynamics of saturated polymorphisms. J. Math. Biol. 72: 1039-1079.
  • Liu J. & Wei, F. 2016. Dynamics of stochastic SEIS epidemic model with varying population size. Physica A 464: 241-250.
  • Liu J., Wei F. & Geritz, S. A. H. 2016. Effects of a toxicant on a single-species population with partial pollution tolerance in a polluted environment. Annals of Applied Mathematics 32: 266-274.
  • Metz, J. A. J. & Geritz, S. A. H. 2016. Frequency dependence 3.0: an attempt at codifying the evolutionary ecology perspective. J. Math. Biol. 72: 1011-1037.
  • Wei F. & Chen, F. 2016. Stochastic permanence of an SIQS epidemic model with saturated incidence and independent random perturbations. Physica A 453: 99-107.

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  • Fang, C., Gyllenberg, M. & Wang, Y. 2015. Non-hyperbolic minimal sets for tridiagonal competitive-cooperative systems. Proceedings of the American Mathematical Society 143: 3063-3074, doi:10.1090/S0002-9939-2015-12536-1.
  • Fortelius M., Geritz S. A. H., Gyllenberg M. & Toivonen J. 2015. Adaptive dynamics on an environmental gradient that changes over a geological time-scale. J. theor. Biol. 376: 91-104.
  • Fortelius M., Geritz S., Gyllenberg M., Raia P. and J. Toivonen. Modeling the population-level processes of biodiversity gain and loss at geological time scales. Am. Nat. 186: 742-754.

  • Geritz, S. A. H. & Reynolds, A. 2015. Tsallis distributions, Lévy walks and correlated-type anomalous diffusion result from state-dependent diffusion. Physica A 424: 317-321.
  • Kisdi, É. 2015. Construction of multiple trade-offs to obtain arbitrary singularities of adaptive dynamics. J. Math. Biol. 70: 1093–1117.
  • Numminen, E., Chewapreecha, C., Turner, C., Goldblatt, D., Nosten, F., Bentley, S. D., Turner, P. & Corander, J. 2015. Climate induces seasonality in pneumococcal transmission. Scientific Reports 5: 11344.
  • Priklopil, T., Kisdi, É. & Gyllenberg, M. 2015. Evolutionarily stable mating decisions for sequentially searching females and the stability of reproductive isolation by assortative mating. Evolution 69: 1015-1026.
  • Turova, T. S. & Vallier, T. 2015. Bootstrap percolation on a graph with random and local connections. Journal of Statistical Physics 160: 1249-1276.

  • Weigang H. C. & Kisdi É. 2015. Evolution of dispersal under a fecundity-dispersal trade-off. J. theor. Biol. 371: 145–153.
  • Zhang, L., Huang, G., Liu, A. & Fan, R. 2015. Stability analysis for a fractional HIV Infection model with nonlinear incidence. Discrete Dynamics in Nature and Society 563127.

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  • Geritz, S. A. H. & Gyllenberg, M. 2014. The DeAngelis–Beddington functional response and the evolution of timidity of the prey. Journal of theoretical Biology 359: 37-44; doi:10.1016/j.jtbi.2014.05.015.
  • Numminen, E, , Chewapreecha, C., Siren, J., Turner, C., Turner, P., Bentley, S. D. & Corander, J. 2014. Two-phase importance sampling for inference about transmission trees. Proc. R. Soc. B 281: 20141324, doi:10.1098/rspb.2014.1324.

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  • Aminoff, E.-I. & Gyllenberg, M. 2013. A life in science and society - A bibliography of Helge Gyllenberg 1945-2013. Unigrafia Oy, Helsinki.
  • Fang, C., Gyllenberg, M. & Wang, Y. 2013. Floquet bundles for tridiagonal competitive-cooperative systems and the dynamics of time-recurrent systems. SIAM Journal on Mathematical Analysis, 45: 2477-2498.
  • Geritz, S. A. H. & Gyllenberg, M. 2013. Group defence and the predator's functional response. Journal of Mathematical Biology 66: 705–717; doi:10.1007/s00285-012-0617-7.
  • Geritz S. A. H., Kisdi, É & Klausmeier, C. A. 2013. Introduction to Special issue: Peter Abrams Honor. J. theor. Biol. 339: 1-2.
  • Gyllenberg, M. 2013. In honour of Odo Diekmann on the occasion of his 65th birthday. Journal of Mathematical Biology 66: 631-634; doi:10.1007/s00285-013-0641-2.
  • Kisdi, É. & Boldin B. 2013. A construction method to study the role of incidence in the adaptive dynamics of pathogens with direct and environmental transmission. Journal of Mathematical Biology 66: 1021–1044; doi:10.1007/s00285-012-0563-4.
  • Kisdi, É., Geritz, S. A. H. & Boldin, B. 2013. Evolution of pathogen virulence under selective predation: A construction method to find eco-evolutionary cycles. J. theor. Biol. 339: 140-150.
  • Numminen, E., Cheng, L., Gyllenberg, M. & Corander, J. 2013. Estimating the transmission dynamics of Streptococcus pneumoniae from strain prevalence data. Biometrics 69: 748–757. DOI: 10.1111/biom.12040.
  • Sunnåker M., Busetto, A. G., Numminen E., Corander J., Foll M. & Dessimoz C. 2013. Approximate Bayesian Computation. PLoS Comput Biol 9(1): e1002803. doi:10.1371/journal.pcbi.1002803.

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  • Barabas, G., Pigolotti, S., Gyllenberg, M., Dieckmann, U. & amp; Meszena, G. 2012. Continuous coexistence or discrete species? A new review of an old question. Evolutionary Ecology Research 14: 523-554.
  • Boldin B. & Kisdi, É. 2012. On the evolutionary dynamics of pathogens with direct and environmental transmission. Evolution 66: 2514-2527; doi:10.1111/j.1558-5646.2012.01613.x.
  • Diekmann, O. & Gyllenberg, M. 2012. Equations with infinite delay: blending the abstract and the concrete. Journal of Differential Equations 252: 819-851; doi:10.1016/j.jde.2011.09.038.
  • Fang C., Huang, W. Yi, Y. & Zhang, P. 2012. Dimension of stable sets and scrambled sets in positive finite entropy systems. Ergodic Theory and Dynamical Systems 32: 599-628; doi:10.1017/S0143385710000982.
  • Geritz, S. A. H. & Gyllenberg, M. 2012. A mechanistic derivation of the DeAngelis–Beddington functional response. Journal of theoretical Biology 314: 106–108; doi:10.1016/j.jtbi.2012.08.030.
  • Geritz, S. A. H. & Kisdi, É. 2012. Mathematical ecology: Why mechanistic models? Journal of Mathematical Biology (Perspectives in Mathematical Biology) 65:1411-1415.
  • Gyllenberg, M., Liu, X. & Yan, P. 2012. An eco-epidemiological model in two competing species. Differential Equations and Applications, 4: 495-519.
  • Gyllenberg, M., Pasic, M. & Rakotoson, J-M. 2012. In honor of Professor Jesus Ildefonso Diaz on the occasion of his 60th birthday. Differential Equations and Applications, 4: 1-2.
  • Janson, S., Luczak, T., Turova, T. & Vallier, T. 2012. Bootstrap percolation on the random graph G(n,p). Annals of Applied Probability 22: 1989-2047.
  • Karonen, I. 2012. Stable trimorphic coexistence in a lattice model of spatial competition with two site types. Journal of theoretical Biology 295: 77-85; doi:10.1016/j.jtbi.2011.10.022.
  • Kisdi, E. 2012. Year-class coexistence in biennial plants. Theoretical Population Biology 82: 18-21; doi:10.1016/j.tpb.2012.03.003.
  • Kisdi, É., Utz, M. & Gyllenberg, M. 2012. Evolution of condition-dependent dispersal. In: Clobert, J., Baguette, M., Benton, T. and Bullock, J. (eds.): Dispersal Ecology and Evolution, Oxford University Press, pp. 139-151.
  • Norvaisas, P. & Kisdi, É. 2012. Revisiting Santa Rosalia to unfold a degeneracy of classic models of speciation. The American Naturalist 180: 388-393; doi:10.1086/667215.
  • Priklopil, T. 2012. On invasion boundaries and the unprotected coexistence of two strategies. Journal of Mathematical Biology 64: 1137-1156; doi:10.1007/s00285-011-0448-y.
  • Priklopil, T. 2012. Chaotic dynamics of allele frequencies in condition-dependent mating systems. Theoretical Population Biology 82: 109–116; doi:10.1016/j.tpb.2012.06.001.
  • Service, R. 2012. A Ramsey theorem with an application to sequences in Banach spaces. Canadian Mathematical Bulletin 55: 410-417; doi:10.4153/CMB-2011-073-5.

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  • Cao, F., Gyllenberg, M. & Wang, Yi. 2011. Asymptotic behavior of comparable skew-product semiflows with applications. Proceedings of the London Mathematical Society 103: 271-293.
  • Eskola, H., Geritz, S. & Gyllenberg, M. 2011. On the evolution of the timing of reproduction with non-equilibrium resident dynamics. Bulletin of Mathematical Biology 73: 1312-1332.
  • Gyllenberg, M., Kisdi, E. & Utz M. 2011. Variability within families and the evolution of body condition dependent dispersal. J. Biol. Dyn. 5: 191-211.
  • Gyllenberg, M., Kisdi, E. & Utz, M. 2011. Body condition dependent dispersal in a heterogeneous environment. Theor. Pop. Biol. 79: 139-154.
  • Gyllenberg, M., Metz, J. A. J. & Service, R. 2011. When do optimisation arguments make evolutionary sense? In: Chalub, F.A.C. and Rodrigues, J.R. (eds.): The Mathematics of Darwins Legacy, Birkhäuser, Springer Basel, pp. 233 - 268.
  • Gyllenberg, M. & Service, R. 2011. Necessary and sufficient conditions for the existence of an optimisation principle in evolution. Journal of Mathematical Biology 62: 359-369.
  • Holt, R. D., Barfield, M., Filin, I. & Forde, S. 2011. Predation and the evolutionary dynamics of species ranges. The American Naturalist 178: 488-500.
  • Kisdi, É & Priklopil, T. 2011. Evolutionary branching of a magic trait. Journal of Mathematical Biology 63: 361-397.
  • Lv X., S. P. Lu & P. Yan. 2011. Periodic solutions of non-autonomous ordinary p-Laplacian systems. J. Appl. Math. Comput. 35: 11–18.
  • Wang, W. & Yang, X. 2011. Multiple solutions of boundary value problems for impulsive differential equations. Mathematical Methods in the Applied Sciences 34: 1649–1657.
  • Wang, Z., Huang, L. & Yang, X. 2011. H_infinity performance for a class of uncertain stochastic nonlinear Markovian jump systems with time-varying delay via adaptive control method. Applied Mathematical Modelling 35: 1983-1993.
  • Yang, X., Wang, W. & Shen, J. 2011. Permanence of a logistic type impulsive equation with infinite delay. Applied Mathematics Letters 24: 420-427.

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Alizon, S. & Boldin, B. 2010. Within-host viral evolution in a heterogeneous environment: insights into the HIV co-receptor switch. Journal of Evolutionary Biology 23: 2625–2635.

Best, A., White, A., Kisdi, E., Antonovics, J., Brockhurst, M. A. & Boots, M. 2010. The evolution of host-parasite range. The American Naturalist 176: 63-71.

Corander, J., Gyllenberg, M. and Koski, T. 2010. Learning genetic population structures using minimization of stochastic complexity. Entropy 12: 1102-1124.

Diekmann O., Gyllenberg, M., Metz, J. A. J., Nakaoka S. & de Roos, A. 2010.  Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example. Journal of Mathematical Biology 61: 277-318.

Filin I. 2010. Target size and optimal life history when individual growth and energy budget are stochastic. Journal of theoretical Biology 264: 510-516.

Kisdi, É. 2010. Costly dispersal can destabilize the homogeneous equilibrium of a metapopulation. J. theor. Biol. 262: 279-283.

Kisdi, É & Geritz, S. A. H. 2010. Adaptive dynamics: A framework to model evolution in the ecological theatre. J. Math. Biol. (Perspectives in Mathematical Biology) 61: 165-169.

Lv X., P. Yan & S. P. Lu. 2010. Existence and global attractivity of positive periodic solutions of competitor-competitor-mutualist Lotka-Volterra systems with deviating arguments. Mathematical and Computer Modelling 51: 823–832.

Lv X., S. P. Lu & P. Yan. 2010. Existence of homoclinic solutions for a class of second-order Hamiltonian systems. Nonlinear Analysis: Theory, Methods & Applications 72: 390–398.

Lv X., S. P. Lu & P. Yan. 2010. Existence and global attractivity of positive periodic solutions of Lotka-Volterra predator-prey systems with deviating arguments. Nonlinear Analysis: Real World Applications 11: 574–583.

Lv, X., P. Yan & D. Liu. 2010. Anti-periodic solutions for a class of nonlinear second-order Rayleigh equations with delays. Commun. Nonlinear Sci. Numer. Simul. 15: 3593–3598.

Lv, X., S. P. Lu & P. Yan. 2010. Homoclinic solutions for nonautonomous second-order Hamiltonian systems with a coercive potential. Nonlinear Anal. 72: 3484–3490.

Service R. 2010. An easier extra head scheme for the Poisson process on R^n. Proceedings of the American Mathematical Society 138: 3703-3705.

Tal O., E. Kisdi & E. Jablonka. 2010. Epigenetic contribution to covariance between relatives. Genetics 184: 1037-1050.

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Boldin, B. 2009. On the evolutionary dynamics of virulence. Proceedings of the 3rd Nordic EWM Summer Scool for PhD students in Mathematics. TUCS general publication 53, Turku (Turku Centre for Computer Science), pp. 43-60, ISSN 1239-1905.

Boldin, B., Geritz, S. A. H. & Kisdi, E. 2009. Superinfections and adaptive dynamics of pathogen virulence revisited: A critical function analysis. Evol. Ecol. Res. 11: 153-175.

Corander J., Gyllenberg, M. & Koski, T. 2009. Bayesian unsupervised classification framework based on stochastic partitions of data and a parallel search strategy. Advances in Data Analysis and Classification 3: 217-243.

Eskola, H. 2009. On the evolution of the timing of reproduction. Theor. Pop. Biol. 75: 98-108.

Filin, I. 2009. A diffusion-based approach to stochastic individual growth and energy budget, with consequences to life-history optimization and population dynamics. Journal of Evolutionary Biology 22: 1252-1267.

Geritz, S. A. H., Gyllenberg, M. & Ondracek, P. 2009. Evolution of density-dependent dispersal in a structured metapopulation. Mathematical Biosciences 219: 142-148.

Gyllenberg, M. 2009. Equations with infinite delay. Oberwolfach Reports 6: 1350-1352.

Gyllenberg, M. 2009. Everyday mathematics (in Swedish: Vardagsmatematik). Yliopisto No 2: 37.

Gyllenberg, M. 2009. The blackboard -- and the smartboard (in Swedish: Svarta tavlan -- och den smarta). Yliopisto No 9: 54.

Gyllenberg, M. 2009. The herbarium contains much more than plants (in Swedish: Herbariet rymmer inte bara växter). Archimedes No 4: 31.

Gyllenberg, M., Preoteasa, D. & Yan, P. 2009. Ecology and evolution of symbiosis in metapopulations. Journal of Biological Dynamics 3: 39-57.

Gyllenberg, M. & Yan, P. 2009. On the number of limit cycles for three dimensional Lotka-Volterra systems. Discrete and Continuous Dynamical Systems - B 11: 347-352.

Gyllenberg, M. & Yan, P. 2009. New conditions for the intersection of orbits with the vertical isocline of the Liénard system. Mathematical and Computer Modelling 49: 906-911.

Gyllenberg, M. & Yan, P. 2009. Four limit cycles for a three-dimensional competitive Lotka-Volterra system with a heteroclinic cycle. Computers and Mathematics with Applications 58: 649-669.

Gyllenberg, M. & Yan, P. 2009. On a conjecture for three-dimensional competitive Lotka-Volterra systems with a heteroclinic cycle. Differential Equations and Applications 1: 473-490.

Jiang J., Mierczynski J. & Wang, Y. 2009. Smoothness of the carrying simplex for discrete-time competitive dynamical systems: A characterization of neat embedding. J. Differential Equations 246: 1623-1672.

Scharf, I., Filin, I. & Ovadia, O. 2009. A trade-off between growth and starvation endurance in a pit-building antlion. Oecologia 160: 453-460.

Scharf, I., Filin I., Subach A. & Ovadia O. 2009. A morphological and life history comparison between desert populations of a sit-and-pursue antlion, in reference to a co-occurring pit-building antlion.Naturwissenschaften 96: 1147-1156.

Svennungsen, T. O. & Kisdi, É. 2009. Evolutionary branching of virulence in a single infection model. J. theor. Biol. 257: 408-418.

Wang, Y. & Zheng, C. 2009. Normal and slow growth states of microbial populations in essential resource-based chemostat. Discrete Contin. Dyn. Syst. B. 12: 227-250.

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Diekmann, O., & Gyllenberg, M. 2008. The second half - with a quarter of a century delay. Mathematical Modelling of Natural Phenomena 3: 36-48.

Diekmann, O., Wang, Y. & Yan, P. 2008. Carrying simplices in discrete competitive systems and age-structured semelparous populations. Discrete Contin. Dyn. Syst. 20: 37-52.

Boldin, B. 2008. Persistence and spread of gastro-intestinal infections: the case of enterotoxigenic Escherichia coli in piglets. Bulletin of Mathematical Biology 70: 2077-2101.

Gyllenberg, M. 2008. Evolutionary suicide. ERCIM News 73: 18.

Gyllenberg, M. 2008. Free access - for everyone (in Swedish: Fri tillgång - för alla). Yliopisto No. 3, 57.

Gyllenberg, M. 2008. Names, too, can be translated (in Swedish: Också namn kan översättas). Arkhimedes No. 2, 35.

Gyllenberg, M. 2008. Rolls and biographies (in Swedish: Matriklar och biografier). Arkhimedes No. 4, 35.

Gyllenberg, M. 2008. A letter means so much... (in Swedish: Ett brev betyder så mycket...). Arkhimedes No. 6, 35.

Gyllenberg, M., Kisdi, É & Utz, M. 2008. Evolution of condition-dependent dispersal under kin competition. Journal of Mathematical Biology 57: 285-307.

Gyllenberg, M. & Silvestrov, D. S. 2008. Quasi-stationary phenomena in nonlinearly perturbed stochastic systems. Walter de Gruyter, Berlin - New York, 2008. 579+ix pages.

Nurmi, T., Geritz, S., Parvinen, K. & Gyllenberg, M. 2008. Evolution of specialization in resource utilization in structured metapopulations. Journal of Biological Dynamics 2: 297-322.

Shen, W. & Wang, Y. 2008. Carrying simplices in nonautonomous and random competitive Kolmogorov systems. J. Differential Equations 245: 1-29.

Virkki, A., Polo, O., Saaresranta, T., Laapotti-Salo, A., Gyllenberg, M., & Aittokallio, T. 2008. Overnight features of transcutaneous carbon dioxide measurement as predictors of individual metabolic status.Artificial Intelligence in Medicine 42: 55-65.

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Aittokallio, T., Gyllenberg, M., Polo, O. & Virkki, A. 2007. Parameter estimation of a gas exchange model from non-invasive carbon dioxide measurements during sleep. Mathematical Medicine and Biology 24: 225-249.

Corander, J., Gyllenberg, M. & Koski, T. 2007. Random partition models and exchangeability for Bayesian identication of population structure. Bulletin of Mathematical Biology 69: 797-815.

Diekmann, O., Getto, Ph. & Gyllenberg, M. 2007. Stability and bifurcation analysis of Volterra functional equations in the light of suns and stars. SIAM Journal on Mathematical Analysis 39: 1023-1069.

Diekmann, O. & Gyllenberg, M. 2007. Abstract delay equations inspired by population dynamics. In: H. Amann, W. Arendt, M. Hieber, F. Neubrander, S. Nicaise, J. von Below (eds.): Functional Analysis and Evolution Equations, Birkhäuser, pp. 187-200.

Diekmann, O., Gyllenberg, M. & Metz, J.A.J. 2007. Physiologically structured population models: Towards a general mathematical theory. In: Y. Takeuchi, Y. Iwasa, K. Sato (eds.): Mathemathics for Ecology and Environmental Sciences, Springer Verlag, pp. 5-20.

Eskola, T. M. & Geritz, S. A. H. 2007. On the derivation of discrete-time population models by varying within-season patterns of reproduction and aggression. Bulletin of Mathematical Biology 69: 329–346.

Fagerholm, H., Gyllenberg, M. & Högnäs, G. 2007. Competition and invasion in stochastic population models. Abo Akademi, Reports on Computer Science & Mathematics, Ser. A, No 191.

Geritz, S. A. H., Kisdi, É. & Yan, P. 2007. Evolutionary branching and long-term coexistence of cycling predators: Critical function analysis. Theoretical Population Biology 71: 424-435.

Gyllenberg, M. 2007. Mathematical aspects of physiologically structured populations: The contributions of J.A.J. Metz. Journal of Biological Dynamics 1: 3-44.

Gyllenberg, M. 2007. The most mathematical language in the world (in Swedish: Världens matematiskaste språk). Arkhimedes 2: 35.

Gyllenberg, M. 2007. Success stories in biomathematics (in Finnish: Biomatematiikan menestystarinoita) Arkhimedes 3: 26-28.

Gyllenberg, M. 2007. Where do we put the limit? (in Swedish: Var skall man dra gränsen?) Arkhimedes 4: 31.

Gyllenberg, M. 2007. Does modelling of complex biological systems require new types of mathematics? In: R. van Driel (ed.): Systems Biology: a Grand Challenge for Europe, European Science Foundation, IREG, Strasbourg, pp. 16-19.

Kisdi, É. 2007. No direct selection to increase offspring number of bet-hedging strategies in large populations: Simons' model revisited. Journal of Evolutionary Biology 20: 2072-2074.

Kisdi, É. & B. Oborny. 2007. Spatial ecology: habitat loss and fragmentation In: E. Pásztor & B. Oborny (eds): Ecology, Nemzeti Tankönyvkiadó Rt., Budapest, pp. 312-332. In Hungarian

Liu, X. & Xiao, D. 2007. Complex dynamic behaviors of a discrete-time predator-prey system. Chaos, Solitons and Fractals 32: 80-94.

Utz, M., Kisdi, É & Doebeli, M. 2007. Quasi-local competition in stage-structured metapopulations: A new mechanism of pattern formation. Bulletin of Mathematical Biology 69:1649-1672.

Simeonov, I., Noykova, N. & Gyllenberg, M. 2007. Identification and extremum seeking control of the anaerobic digestion of organic wastes. Cybernetics and Information Technologies 7: 73-84.

Virkki, A., Polo, Gyllenberg, M. & Aittokallio, T. 2007. Can carotoid body perfusion act as a respiratory controller? Journal of Theoretical Biology 249: 737-748.

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Aittokallio, T., Gyllenberg, M., Polo, O., Toivonen, J. & Virkki, A. 2006. Model-based analysis of mechanisms responsible for sleep-induced carbon dioxide differences. Bulletin of Mathematical Biology 68: 315-341.

Corander, J., Gyllenberg, M. & Koski, T. 2006. Bayesian model learning based on parallel MCMC strategy. Statistics and Computing, 16: 355-362.

Diekmann, O., Gyllenberg, M. & Metz, J. A. J. 2006. Physiologically structured population models: Towards a general mathematical theory. In: Y. Takeuchi, Y. Iwasa & K. Sato (eds.): Mathemathics for Ecology and Environmental Sciences, Springer, Berlin-Heidelberg, pp. 5-20.

Geritz, S. A. H., Gyllenberg, M. & Yan, P. 2006. Plant growth and the optimal sharing of photosynthetic products with a mycorrhizal symbiont. Evolutionary Ecology Research 8:577-590.

Gyllenberg, M. 2006. Stability and bifurcation analysis of models of physiologically structured populations. Mathematisches Forschungsinstitut Oberwolfach Report 24: 66-68.

Gyllenberg, M., Lant, T. & Thieme, H. 2006. Perturbing evolutionary systems on dual spaces by cumulative outputs. Differential and Integral Equations 19: 401-436.

Gyllenberg, M., Yan, P. & Wang, Y. 2006. A 3D competitive Lotka-Volterra system with three limit cycles: a falsification of a conjecture by Hofbauer and So. Appl. Math. Lett. 19: 1-7.

Gyllenberg M., Yan, P. & Wang, Y. 2006. Limit cycles for competitor-competitor-mutualist Lotka-Volterra systems. Physica D 221: 135-145.

Kisdi, É. 2006. Trade-off geometries and the adaptive dynamics of two co-evolving species. Evolutionary Ecology Research 8: 959-973.

Kisdi, É. & Liu, S. 2006. Evolution of handling time can destroy the coexistence of cycling predators. Journal of evolutionary Biology 19: 49-58.

Liu, X. & Xiao, D. 2006. Bifurcations in a discrete Lotka-Volterra predator-prey system. Discrete and Continuous Dynamical Systems ser. B 6:559-572.

Meszéna, G., Gyllenberg, M., Pásztor, L. & Metz, J. A. J. 2006. Competitive exclusion and limiting similarity: A unified theory. Theoretical Population Biology 69: 68-87.

Yan, P. & Gyllenberg, M. 2006. On a conjecture of Qi-type integral inequalities. Journal of Inequalities in Pure and Applied Mathematics vol. 7 (4), Article 146.

Yan, P. & Gyllenberg, M. 2006. On an open problem of integral inequalities. Journal of Inequalities in Pure and Applied Mathematics vol. 7 (5), Article 170.

Yan, P. & Liu, S. 2006. SEIR epidemic model with delay. Journal of the Australian Mathematical Society, Series B - Applied Mathematics 48: 119-134.

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Dawyndt, P., Thompson, F. L., Austin, B., Swings, J., Koski, T. & Gyllenberg, M. 2005. Application of sliding window discretization and minimization of stochastic complexity for the analysisi of FAFLP genotyping fingerprint patterns of Vibrionaceae. International Journal of Systematic and Evolutionary Microbiology 55: 57-66.

Geritz, S. A. H. 2005. Resident-invader dynamics and the coexistence of similar strategies. Journal of Mathematical Biology 50: 67-82.

Geritz, S. A. H. & Gyllenberg, M. 2005. Seven answers from adaptive dynamics. Journal of evolutionary Biology 18: 1174-1177.

Gyllenberg, M. 2005. Review of "Mathematics in population biology" by Horst R. Thieme. Matematical Biosciences 193: 13-18.

Gyllenberg, M. 2005. Review of "Differential equations and mathematical biology" by D.S. Jones and B.D. Sleeman. Matematical Biosciences 193: 19-24.

Gyllenberg, M. 2005. Metapopulations. In: P. Haccou and P. Jagers (Eds.): Branching Processes in Biology: Variation, Growth, Extinction. Cambridge University Press, pp. 249-265.

Gyllenberg, M. & Jagers, P. 2005. Branching processes and structured population dynamics. In: P. Haccou and P. Jagers (Eds.): Branching Processes in Biology: Variation, Growth, Extinction. Cambridge University Press, pp. 94-106.

Gyllenberg, M. & Meszéna, G. 2005. On the impossibility of coexistence of infinitely many strategies. Journal of Mathematical Biology, 50: 133-160.

Gyllenberg, M. & Wang, Y. 2005. Periodic tridiagonal systems modeling competitive-cooperative ecological interactions. Discrete and Continuous Dynamical Systems-A, 5: 511-521.

Kisdi, E. & Gyllenberg, M. 2005. Adaptive dynamics and the paradigm of diversity. Journal of evolutionary Biology 18: 1170-1173.

Kisdi, E. & Utz, M. 2005. Does quasi-local competition lead to pattern formation in metapopulations? An explicit resource competition model. Theoretical Population Biology 68: 133-145.

Meszéna, G., Gyllenberg, M., Jacobs, F. J. & Metz, J. A. J. 2005. Link between population dynamics and dynamics of Darwinian evolution Physical Review Letters 95, 078105.

Rantanen, V-V., Gyllenberg, M., Koski, T. & Johnson, M.S. 2005. A priori contact preferences in molecular recognition. Journal of Bioinformatics and Computational Biology 3: 861-890.

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Austin, B., Dawyndt, P., Gyllenberg, M., Koski, T., Lund, T., Swings, J., Thompson, F.L. 2004. Sliding window discretization: A new method for multiple band matching of bacterial genotyping fingerprints.Bulletin of Mathematical Biology 66: 1575-1596.

Geritz, S. A. H. & É. Kisdi. 2004. On the mechanistic underpinning of discrete-time population models with complex dynamics. Journal of theoretical Biology 228: 261-269.

Geritz, S. A. H., Kisdi, É., Meszéna, G. & Metz, J. A. J. 2004. Adaptive dynamics of speciation: Ecological underpinnings. In: U. Dieckmann, M. Doebeli, J.A.J. Metz & D. Tautz (Eds.) Adaptive speciation, Cambridge University Press, pp. 54-75.

Gyllenberg, M., Hanski, I. & Metz, J. A. J. 2004. Spatial dimensions of population viability. In: R. Ferrière, U. Dieckmann and D. Couvet (Eds.) Evolutionary Conservation Biology, Cambridge University Press, pp. 59-80.

Gyllenberg, M. & Wang Y. 2004. Dynamics of the periodic type-K competitive Kolmogorov systems. Journal of Differential Equations 205: 50-76.

Gyllenberg, M., Wang, Y. & Jiang, J. 2004. Asymptotic spatial homogeneity in a class of periodic quasimonotone reaction-diffusion systems with a first integral. Nonlinear Analysis 59: 235-244.

Gyllenberg, M., Yan, P. & Jiang, J. 2004. The qualitative behavior of a second order system with zero diagonal coefficient. Journal of Mathematical Analysis and Applications 291: 322-340.

Kisdi, É. 2004. Conditional dispersal under kin competition: Extension of the Hamilton-May model to brood size-dependent dispersal. Theoretical Population Biology 66: 369-380.

Kisdi, É. 2004. Optimal body size, density-dependent selection gradients, and phenotypic variance under asymmetric competition. Ecology 85: 1460-1467.

Kisdi, É. & Gyllenberg, M. 2004. On some misconceptions about adaptive dynamics.  TUCS Technical Report 624.

Lehtonen, J. V., Still, D-J., Rantanen, V-V., Ekholm, J., Björklund, D., Iftikhar, Z., Huhtala, M., Jussila, A., Jaakkola, J., Pentikäinen, O., Nyrönen, T., Salminen, T., Gyllenberg, M., % Johnson, M. S. 2004. BODIL: A molecular modeling environment for structure-function analysis and drug discovery. Journal of Computer-Aided Molecular Design 18: 401-419.

Noykova, N. & Koprinkova, P. 2004. Two approaches for modeling of microbial population dynamics: an example of anaerobic wastewater treatment. Journal of Ecological Engineering and Environmental Protection 3: 59-66.

Simeonov, I., Noykova, N. & Stoyanov, S. 2004. Modelling and extremum seeking control of the anaerobic digestion. IFAC Workshop DECOM-TT, Bansko, Bulgaria, Oct. 3-5 2004, pp 289-294.

Yan, P. & Jiang, J. 2004. Periodic solutions of general autonomous system of Lienard Type. Applicable Analysis 83(7): 735-746.

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Aittokallio, T., Gyllenberg, M., Saaresranta, T., & Polo, O. 2003. Prediction of inspiratory flow shapes during sleep with a mathematical model of upper airway forces. SLEEP 26: 857-63.

Bowers, R. G., White, A., Boots, M., Geritz, S. A. H. & Kisdi, É. 2003. Evolutionary branching/speciation: Contrasting results from systems with explicit or emergent carrying capacities. Evol. Ecol. Res. 5: 883-891.

Diekmann, O., Gyllenberg, M. & Metz, J. A. J. 2003. Steady state analysis of structured population models. Theoretical Population Biology 63: 309-338.

Gál, R. I. & Geritz, S. A. H. 2003. A theory of endogenous preference adaptation. (Hungarian) In: R. I. Gál & Z. Szántó (Eds.): "Theory of action and social research", Közgazdasági Szemle Alapítvány, Budapest, pp. 48-68.

Gyllenberg, M., Carlsson, J. & Koski, T. 2003. Bayesian Network Classification of Binarized DNA Fingerprinting Patterns. In: V. Capasso (Ed.): Mathematical Modelling and Computing in Biology and Medicine, Progetto Leonardo, Bologna, pp. 60-66.

Gyllenberg, M., Jacobs, F. J. A. & Metz, J. A. J. 2003. On the Concept of Attractor for Community-Dynamical Processes. II: The Case of Structured Populations Journal of Mathematical Biology 47: 235-248.

Gyllenberg, M., Osipov, A. & Päivärinta, L. 2003. On determining individual behaviour from population data. In: D. Haroske, T. Runst and H.-J. Schmeisser (Eds.): Function Spaces, Differential Operators, Nonlinear Analysis. The Hans Triebel Anniversary Volume. Birkhäuser, Basel, pp. 329-339.

Kisdi É. 2003. Reinforcement with multiple mating. TREE 18: 165-166.

Kisdi, É. & Geritz, S. A. H. 2003. On the coexistence of perennial plants by the competition-colonization trade-off. Am. Nat. 161: 350-354.

Kisdi, É. & Geritz, S. A. H. 2003. Competition-colonization trade-off between perennial plants: Exclusion of the rare species, hysteresis effects, and the robustness of coexistence under replacement competition. Evol. Ecol. Res. 5: 529-548.

Parvinen, K., Dieckmann, U., Gyllenberg, M., & Metz, J. A. J. 2003. Evolution of dispersal in metapopulations with local density dependence and demographic stochasticity Journal of Evolutionary Biology 16: 143-153.

Rantanen, V-V., Gyllenberg, M., Koski, T., & Johnson, M. S. 2003. A Bayesian molecular interaction library. Journal of Computer-Aided Molecular Design 17: 435-461.

Wang, Y. & Zhao, X. 2003. Convergence in monotone and subhomogenous discrete dynamical systems on product Banach spaces. Bull. London Math. Soc. 35: 681-688.

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Aittokallio, T., Gyllenberg, M. & Polo, O. 2002. Adjustment of human respiratory system to increased upper airway resistance during sleep. Bulletin of Mathematical Biology 64: 3-28.

Geritz, S. A. H., Gyllenberg, M., Jacobs, F. J. A. & Parvinen, K. 2002. Invasion dynamics and attractor inheritance. Journal of Mathematical Biology 44: 548-560.

Gyllenberg, M. & Koski, T. 2002. Bayesian predictiveness, exchangeability and sufficientness in bacterial taxonomy. Mathematical Biosciences 177-178: 161-184.

Gyllenberg, M. & Koski, T. 2002. Tree augmented classification of binary data minimizing stochastic complexity. University of Linköping, LiTH-MAT-R-2002-04.

Gyllenberg, M. Koski, T., Dawyndt, P., Lund, T., Thompson, F., Austin, B. & Swings,J. 2002. New methods for the analysis of binarized BIOLOG GN data of Vibrio species: Minimization of stochastic complexity and cumulative classification. Systematic and Applied Microbiology 25: 403-415.

Gyllenberg, M., Osipov, A. & Päivärinta, L. 2002. The inverse problem of age-structured population dynamics. Journal of Evolution Equations 2: 223-239.

Gyllenberg, M., Parvinen, K. & Dieckmann, U. 2002. Evolutionary suicide and evolution of dispersal in structured metapopulations. Journal of Mathematical Biology 45: 79-105.

Gyllenberg, M., Preoteasa, D. & Saikkonen, K. 2002. Vertically transmitted symbionts in structured host metapopulations. Bulletin of Mathematical Biology 64: 959-978.

Gyllenberg, M. & Yan Ping. 2002. The Generalized Liénard Systems. Discrete and Continuous Dynamical Systems, Series A, 8: 1043-1057.

Gyllenberg, M. & Wang, Y. 2002. Dynamics of the periodic type-K competitive Kolmogorov systems.  TUCS Technical Report 492.

Kisdi, É. 2002. Dispersal: Risk spreading versus local adaptation. The American Naturalist 159: 579-596.

Mathias, A. & Kisdi, É. 2002. Adaptive diversification of germination strategies. Proc. R. Soc. Lond. B 269: 151-156.

Matter, S.F., Hanski, I. & Gyllenberg, M. 2002. A test of the metapopulation model of the species-area relationship. J. Biogeogr. 29: 977-983.

Müller, T. G., Noykva, N., Gyllenberg, M. & Timmer, J. 2002. Parameter identification in a dynamical model of anaerobic waste water treatment. Mathematical Biosciences 177-178: 147-160.

Noykova, N., Müller, T. G., Gyllenberg, M. & Timmer, J. 2002. Qualitative analyses of anaerobic wastewater treatment processes: identifiability and parameter estimation. Biotechnology and Bioengineering 78: 89-103.

Rantanen, V-V., Gyllenberg, M., Koski, T. & Johnson, M. S. 2002. A dissimilarity matrix between protein atom classes based on Gaussian mixtures. Bioinformatics 18: 1257-1263.

Saikkonen, K., Ion, D. & Gyllenberg, M. 2002. The persistence of fungal endophytes in grass metapopulations. Proc. R. Soc. Lond. B., 269: 1397-1403.

Wang, Y. 2002. Convergence to periodic solutions in periodic quasimonotone reaction-diffusion systems. J. Math. Anal. Appl. 268(1): 25-40.

Wang, Y. & Jiang, J. 2002. The long-run behavior of periodic competitive Kolmogorov systems. Nonlinear Analysis: Real World Applications 3: 471-485.

Wang, Y. & Jiang, J. 2002. Uniqueness and attractivity of the carrying simplex for discrete-time competitive dynamical systems. J. Differential Equations 186(2): 611-632.

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Aittokallio, T., Gyllenberg, M., Nevalainen, O. & Polo, O. 2001. Testing for periodicity in signals: an application to detect partial upper airway obstruction during sleep. Journal of Theoretical Medicine 3: 231-245.

Aittokallio, T., Gyllenberg, M. & Polo, O. 2001. A model of a snorer's upper airway. Mathematical Biosciences 170: 79-90.

Alvarez, L. H. R., Gyllenberg, M. & Shepp, L. A. 2001. Optimal harvesting in the presence of density dependent extinction probabilities.  TUCS Technical Report 431.

De Jong, T. J. & S. A. H. Geritz. 2001. The role of geitonogamy in the gradual evolution towards dioecy in cosexual plants. Selection 2: 133-146. PDF (Courtesy of Akadémiai Kiadó, Budapest)

Diekmann, O., Gyllenberg, M., Huang, H., Kirkilionis, M., Metz, J. A. J. & Thieme, H. R. 2001. On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory.Journal of Mathematical Biology 43: 157-189.

Gyllenberg, H. G., Gyllenberg, M. & Koski, T. 2001. Sense in microbial taxonomy: Minimization of stochastic complexity as an objective taxonomic tool. In: S. G. Pandalai (Ed.): Recent Research Developments in Microbiology, 5, Research Signpost, pp. 211-221.

Gyllenberg, M. & Koski, T. 2001. Probabilistic models for bacterial taxonomy. International Statistical Review 69: 249-276.

Gyllenberg, M., Koski, T. & Lund, T. 2001. BinClass: A software package for classifying binary vectors. User's Guide.  TUCS Technical Report 411.

Gyllenberg M. & Metz, J. A. J. 2001. On fitness in structured metapopulations Journal of Mathematical Biology 43: 545-560.

Gyllenberg, M. & Parvinen, K. 2001. Necessary and sufficient conditions for evolutionary suicide. Bulletin of Mathematical Biology 63: 981-993.

Gyllenberg, M. & Yan, P. 2001. On a conjecture by Yang. Journal of Mathematical Analysis and Applications 264: 687-690.

Johnson, M. S., Lehtonen, J., Still, D-J., Rantanen, V-V. & Gyllenberg, M. 2001. BODIL: Ripeää proteiinien visualisointia Linuxissa. Tietoyhteys 4: 12-13.

Kisdi, É. 2001. Long-term adaptive diversity in Levene-type models. Evolutionary Ecology Research 3: 721-727.

Kisdi, É. & Geritz, S. A. H. 2001. Evolutionary disarmament in interspecific competition. Proc. R. Soc. Lond. B 268: 2589-2594.

Kisdi, É., Jacobs, F. J. A. & Geritz, S. A. H. 2001. Red Queen evolution by cycles of evolutionary branching and extinction. Selection 2:161-176. PDF (Courtesy of Akadémiai Kiadó, Budapest)

Mathias, A., Kisdi, É. & Olivieri, I. 2001. Divergent evolution of dispersal in a heterogeneous landscape. Evolution 55: 246-259.

Meszéna, G., Kisdi, É., Dieckmann, U., Geritz, S. A. H. & Metz, J. A. J. 2001. Evolutionary optimisation models and matrix games in the unified perspective of adaptive dynamics. Selection 2: 193-210. PDF(Courtesy of Akadémiai Kiadó, Budapest)

Metz, J. A. J. & Gyllenberg, M. 2001. How should we define fitness in structured metapopulation models? Including an application to the calculation of evolutionarily stable dispersal strategies. Proc. R. Soc. London B. 268: 499-508.

Noykova, N., Müller, T. G., Gyllenberg, M. & Timmer, J. 2001. Identifiability problems in a mathematical model of anaerobic digestion. In: V. Sgurev, K. Boyanon and M. Hadjiski (Eds.): Proceedings of the International Conference on Automatics and Informatics (May 31-June 2, 2001), Union of Automation and Informatics, Sofia (Bulgaria), pp. 37-40.

Rantanen, V-V., Denessiouk, K. A., Gyllenberg, M., Koski, T. & Johnson, M. 2001. A fragment library based on Gaussian mixtures predicting favorable molecular interactions. Journal of Molecular Biology, 313: 197-214.

Wang, Y. and Jiang, J. 2001. The convergence of a class of quasimonotone reaction-diffusion systems. J. London Math. Soc. 64: 395-408.

Wang, Y. and Jiang, J. 2001. The general properties of discrete-time competitive dynamical systems. J. Differential Equations 176: 470-493.

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Aittokallio, T., Gyllenberg, M., Järvi, J., Nevalainen, O. & Polo, O. 2000. Detection of high-frequency respiratory movements during sleep. Computer Methods and Programs in Biomedicine, 61: 171 - 185.

Diekmann, O., Gyllenberg, M. & Thieme, H. R. 2000. Lack of uniqueness in transport equations with a nonlocal nonlinearity. Mathematical Models and Methods in Applied Sciences 10: 581-592.

Fränti, P., Gyllenberg, H. G., Gyllenberg, M., Kivijärvi, J., Koski, T., Lund, T. & Nevalainen, O. 2000. Minimizing stochastic complexity using local search and GLA with applications to classification of bacteria.BioSystems, 57: 37-48.

Geritz, S. A. H. & Kisdi, É. 2000. Adaptive dynamics in diploid, sexual populations and the evolution of reproductive isolation. Proc. R. Soc. Lond. B 267:1671-1678.

Gyllenberg, M., Koski, T. & Lund, T. 2000. Applying the EM-algorithm to classification of bacteria. In F. Naghdy, F. Kurfess, H. Ogata, E. Szczerbicki, H. Bother and H. Tlanfield (Eds.): Proceedings of the International ICSC Congress on Intelligent Systems and Applications, Vol. 2, pp. 65-71.

Gyllenberg, M., Koski, T., Lund, T. & Nevalainen, O. 2000. Clustering by adaptive local search with multiple search operators. Pattern Analysis and Applications 3: 348-357.

Gyllenberg, M. , Koski, T., Lund, T. & Nevalainen, O. 2000. On self-adaptation in multioperator local search. In: R. J. Howlett and L. C. Jain (Eds.): Proceedings of the Fourth International Conference on Knowledge-Based Intelligent Engineering Systems and Allied Technologies, Institute of Electrical and Electronics Engineers, Brighton, UK, Vol.1, pp. 181-184.

Gyllenberg, M. & Sigmund, K. 2000. The Fibonacci chimney. The Mathematical Intelligencer 22:46.

Gyllenberg, M. & Silvestrov, D. S. 2000. Nonlinearly perturbed regenerative processes and pseudo-stationary phenomena for stochastic systems. Stochastic Processes and Their Applications 86: 1-27.

Gyllenberg, M. & Silvestrov, D. S. 2000. Cramér-Lundberg approximation for nonlinearly perturbed risk processes. Insurance: Mathematics and Economics, 26: 75-90.

Kisdi, É. 2000. Sensitivity analysis, indirect interactions and inconsistency problems. Trends in Ecology and Evolution 15:329.

Noykova, N. & Gyllenberg, M. 2000. Sensitivity analysis and paramter estimation in a model of anaerobic waste water treatment with substrate inhibition. Bioprocess Engineering 23: 343-349.

Pásztor, E., Kisdi, É. & Meszéna, G. 2000. Jensen's inequality and optimal life history strategies in stochastic environments. Trends in Ecology and Evolution 15:117-118.

Yan Ping & Jiang Ji Fa. 2000. A necessary and sufficient condition for oscillation of the generalized Liénard system. (Chinese) Math. Appl. 13(4): 16-20.

Yan Ping & Jiang Ji Fa. 2000. Existence of nontrivial periodic solutions for the generalized Liénard equation. (Chinese) Math. Appl. 13(3): 31-34.

Yan Ping & Jiang Ji Fa. 2000. The existence and nonexistence of periodic solutions of generalized Liénard equations. (Chinese) J. Systems Sci. Math. Sci. 20(2): 210-216.

Yan Ping & Wu Jun A. 2000. Periodic free boundary problem arising from continuous casting processes. (Chinese) Math. Appl. 13(1): 51-55.

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Aittokallio, T., Gyllenberg, M., Kuusela, T., Hietarinta, J. & Multamäki, T. 1999. Improving the false nearest neighbors method with graphical analysis. Physical Review E, 60: 416-421.

Geritz, S. A. H. , Van der Meijden, E. & Metz, J. A. J. 1999. Evolutionary dynamics of seed size and seedling competitive ability. Theoretical Population Biology 55: 324-343.

Gyllenberg, H. G., Gyllenberg, M., Koski, T., Lund, T., Mannila, H. & Meek, C. 1999. Singling out ill-fit items in a classification. Application to the taxonomy of Enterobacteriaceae. Archives of Control Sciences 9: 97-105.

Gyllenberg, H. G., Gyllenberg, M., Koski, T., Lund, T. & Schindler, J. 1999. An assessment of cumulative classification. Quantitative Microbiology 1: 7-27.

Gyllenberg, H. G., Gyllenberg, M., Koski, T., Lund, T. & Schindler, J. 1999. Enterobacteriaceae taxonomy approached by minimization of stochastic complexity. Quantitative Microbiology 1: 157-170.

Gyllenberg, M., Hemminki, J. & Tammaru, T. 1999. Allee effects can both conserve and create spatial heterogeneity in population densities. Theoretical Population Biology 56: 231-242.

Gyllenberg, M., Koski, T., Lund, T. & Gyllenberg, H. G. 1999. Bayesian predictive identification and cumulative classification of bacteria. Bulletin of Mathematical Biology 61: 85-111.

Gyllenberg, M. & Osipov A. V. 1999. Limit cycles in the two-dimensional May problem. (in Russian) Differentialnye Uravneniya 35: 733-737. English translation: Differential Equations 35: 733-738.

Gyllenberg, M. & Osipov A. V. 1999. Types of dynamic behavior in the Hanski-Henttonen model. (in Russian) Differentialnye Uravneniya 35: 882-888. English translation: Differential Equations 35: 888-895.

Gyllenberg, M. & Silvestrov, D. S. 1999. Quasi-stationary phenomena for semi-Markov processes. In: J. Janssen and N. Limnios (Eds.): Semi-Markov Models and Applications, Kluwer Academic Publishers, Dordrecht (The Netherlands), pp. 33-60.

Gyllenberg, M. & Silvestrov, D. S. 1999. Cramér-Lundberg and diffusion approximations for nonlinearly perturbed risk processes including numerical computation of ruin probabilities. Theor. Stoch. Proc. 5(21): 6-21.

Kisdi, É. 1999. Evolutionary branching under asymmetric competition. Journal of theoretical Biology 197: 149-162.

Kisdi, É. & Geritz, S. A. H. 1999. Adaptive dynamics in allele space: Evolution of genetic polymorphism by small mutations in a heterogeneous environment. Evolution 53: 993-1008.

Yan Ping & Jiang Ji Fa. 1999. The center of the system x'=h(y)-F(x), y'=-g(x). (in Chinese) J. Systems Sci. Math. Sci. 19: 353-358.

Yan Ping & Sun Guozheng. 1999. A strengthened Carleman's inequality. J. Math. Anal. Appl. 240: 290-293.

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Diekmann, O., Gyllenberg, M., Metz, J. A. J. & Thieme, H. R. 1998. On the formulation and analysis of general deterministic structured population models. I. Linear theory. Journal of Mathematical Biology 36: 349-388.

Geritz, S. A. H. 1998. Co-evolution of seed size and seed predation. Evolutionary Ecology 12: 891-911.

Geritz, S. A. H., Kisdi, É., Meszéna, G. & Metz, J. A. J. 1998. Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree. Evolutionary Ecology 12: 35-57.

Gyllenberg, H. G., Gyllenberg, M., Koski, T. & Lund, T. 1998. Stochastic complexity as a taxonomic tool. Computer Methods and Programs in Biomedicine 56: 11-22.

Gyllenberg, M. & Koski, T. 1998. Posterior predictive distributions for classification of multivariate binary data. University of Turku, Institute of Applied Mathematics, Research Reports A21.

Gyllenberg, M., Koski, T. & Lund, T. 1998. Applications of machine learning to microbial taxonomy. (in Finnish) Tietojenkäsittelytiede (Journal of the Finnish Society for Computer Science), December 1998, pp. 23-24.

Gyllenberg, M. & Silvestrov, D. S. 1998. Quasi-stationary phenomena in semi-Markov models. In: J. Janssen and N. Limnios (Eds.): Proceedings of the Second International Symposium on Semi-Markov Models: Theory and Applications. Université de Technologie de Compiègne. pp. 87-93.

Kisdi, É. 1998. Frequency dependence versus optimization. Trends in Ecology and Evolution 13:508.

Kisdi, É., Meszéna, G. & Pásztor, E. 1998. Individual optimization: Mechanisms shaping the optimal reaction norm. Evolutionary Ecology 12: 211-221.

Persson, L., Leonardsson, K., de Roos, A., Gyllenberg, M. & Christensen, B. 1998. Ontogenetic scaling of foraging rates and the dynamics of a size-structured consumer-resource model. Theoretical Population Biology 54: 270-293.

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Geritz, S. A. H., Metz, J. A. J., Kisdi, É. & Meszéna, G. 1997. Dynamics of adaptation and evolutionary branching. Physical Review Letters 78: 2024-2027.

Gyllenberg, H. G., Gyllenberg, M., Koski, T., Lund, T., Schindler, J. & Verlaan, M. 1997. Classification of Enterobacteriaceae by minimization of stochastic complexity. Microbiology 143: 721-732.

Gyllenberg M. & Hanski, I. 1997. Habitat deterioration, habitat destruction and metapopulation persistence in a heterogeneous landscape. Theoretical Population Biology 52: 198-215.

Gyllenberg, M., Hanski, I. & Hastings, A. 1997. Structured metapopulation models. In: I. Hanski & M. Gilpin (eds.): Metapopulation dynamics: Ecology, genetics and evolution. Academic Press, London, pp. 93-122.

Gyllenberg, M., Hanski, I. & Lindström T. 1997. Continuous versus discrete single species population models. Bulletin of Mathematical Biology 59: 679-705.

Gyllenberg, M. & Koski, T. 1997. On predictive classifications of binary vectors. Proceedings of the Sixth International Workshop on Artificial Intelligence and Statistics, Ft. Lauderdale (Florida), pp. 239-242.

Gyllenberg, M., Koski, T. & Verlaan, M. 1997. Classification of binary vectors by stochastic complexity. Journal of Multivariate Analysis 63: 47-72.

Gyllenberg, M., Osipov A. V. & Söderbacka, G. 1997. Effekt sohraneniya attraktora pri dvumernom vozmushchenii. Differentialnye Uravneniya, 33: 859-860. English translation in Differential Equations.

Gyllenberg, M. & Silvestrov, D.S. 1997. Exponential asymptotics for perturbed renewal equations and pseudo-stationary phenomena for stochastic systems. Umea University, Department of Mathematical Statistics, Research Report 3. ISSN 1401-730X.

Hanski, I. & Gyllenberg, M. 1997. Uniting two general patterns in the distribution of species. Science 275: 397-400.

Meszéna, G., Czibula, I. & Geritz, S. A. H. 1997. Adaptive dynamics in a two-patch environment: A toy model for allopatric and parapatric speciation. Journal of Biological Systems 5: 265-284.

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Gyllenberg, M., Hanski, I. & Lindström, T. 1996. A predator-prey model with optimal suppression of reproduction in the prey. Mathematical Biosciences 134: 119-152.

Gyllenberg, M. & Koski, T. 1996. Numerical taxonomy and the principle of maximum entropy. Journal of Classification 13: 213-229.

Gyllenberg, M. & Koski, T. 1996. Posterior predictive distributions and maximal predictiveness for classification of multivariate binary data. Department of Mathematics, Royal Institute of Technology, Stockholm, TRITA-MAT-1996-MS-01.

Gyllenberg, M., Koski, T., Reilink E. & Verlaan, M. 1996. Probabilistic aspects of numerical identification in microbiology. In: Shiryaev, A. N, Melnikov, A. V., Niemi, H. & Valkeila, E. (eds.): Frontiers in pure and applied probability, TVP Science Publishers, Moscow, pp. 67-78.

Gyllenberg, M., Osipov, A. V. and Söderbacka, G. 1996. Bifurcation analysis of a metapopulation model with sources and sinks. Journal of Nonlinear Science 6: 329-366.

Hanski, I., Moilanen, A. & Gyllenberg, M. 1996. Minimum viable metapopulation size. The American Naturalist, 147: 527-541.

Metz, J. A. J., Geritz, S. A. H., Meszéna, G., Jacobs, F. J. A. & Van Heerwaarden, J. S. 1996. Adaptive dynamics: A geometrical study of the consequences of nearly faithfull reproduction. In: S. J. van Strien & S. M. Verduyn-Lunel (eds.): Stochastic and spatial structures of dynamical systems. North Holland, Elsevier, pp. 183-231.

Pásztor, E., Meszéna, G. & Kisdi, É. 1996. R0 or r: A matter of taste? Journal of evolutionary Biology 9: 511-518.

Yordanova, S. T. & Noykova, N. 1996. An investigation of the model of aerobic waste water treatment processes. Bioprocess Engineering 15: 201-203.

Yordanova, S. T. & Noykova, N. 1996. Influence of perturbations on the waste water treatment process. Chemical and Biochemical Engineering Quarterly, Zagreb, 10: 9-14.

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Diekmann, O. Gyllenberg, M. & Thieme, H. R. 1995. Perturbing evolutionary systems by cumulative outputs and step responses. Differential and Integral Equations 8: 1205-1244.

Geritz, S. A. H. 1995. Evolutionarily stable seed polymorphism and small-scale spatial variation in seedling density. The American Naturalist 146: 685-707.

Gyllenberg, M. & Koski, T. 1995. A taxonomic associative memory based on neural computation. Binary 7: 61-66.

Gyllenberg, M., Koski, T. & Lahti, T. 1995. Associativ memories for clusters of binary vectors using MATLAB(TM) Neural Network Toolbox. In: Lars Langemyr (ed.): Proceedings of Nordic MATLAB Conference '95, Comsol, Stockholm, Vol. II, pp. 49-54.

Jablonka, É., Oborny, B., Molnár, I., Kisdi, É., Hofbauer, J. & Czárán, T. 1995. The adaptive advantage of phenotypic memory in changing environments. Philosophical Transanctions of the Royal Society, London, B 350: 133-141.

Kisdi, É. & Meszéna, G. 1995. Life histories with lottery competition in a stochastic environment: ESSs which do not prevail. Theoretical Population Biology 47: 191-211.

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Gyllenberg, M. 1994. Matematiikka luonnontieteiden kielenä. (English summary: Mathematics as the language of science) Arkhimedes 3: 230-238.

Gyllenberg, M., Högnäs, G. & Koski, T. 1994. Population models with environmental stochasticity. Journal of Mathematical Biology 32: 93-108.

Gyllenberg, M., Högnäs, G. & Koski, T. 1994. Null recurrence in a stochastic Ricker model. In: Gyllenberg, M. & Persson, L. E. (eds.): Analysis, Algebra and Computers in Mathematics. Proceedings of the 21th Nordic Congress of Mathematicians, Marcel Dekker, New York - Basel - Hong Kong, pp. 147-166.

Gyllenberg, M., Koski, T., Reilink, E., & Verlaan, M. 1994. Nonuniqueness in probabilistic numerical identification of bacteria. Journal of Applied Probability 31: 542-548.

Gyllenberg, M., Koski, T. & Verlaan, M. 1994. Clustering and quantization of binary vectors using stochastic complexity. In: Proceedings of the IEEE International Symposium on Information Theory, p. 390.

Gyllenberg, M. & Silvestrov, D. S. 1994. Quasistationary distributions of a stochastic metapopulation model. Journal of Mathematical Biology 33: 35-70.

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Diekmann, O., Gyllenberg, M., Metz, J. A. J. & Thieme, H. R. 1993. The "cumulative" formulation of (physiologically) structured population models. In: Ph. Clement & G. Lumer (eds.): Evolution Equations, Control Theory and Biomathematics, Marcel Dekker, New York, pp. 145-154.

Diekmann, O., Gyllenberg, M. & Thieme, H. R. 1993. Perturbing semigroups by solving Stieltjes renewal equations. Differential and Integral Equations 6: 155-181.

Diekmann, O., Gyllenberg, M. & Thieme, H. R. 1993. Perturbing evolutionary systems by cumulative outputs and step responses. Lulea University of Technology, Department of Applied Mathematics, Research Report 1993 04, ISRN HLU-TMAT-RES--93/4--SE.

Diekmann, O., Gyllenberg, M., Thieme, H. R. & Verduyn Lunel, S. M. 1993. A cell-cycle model revisited. Centrum for Wiskunde en Informatica, Report AM-R9305.

Gyllenberg, M. 1993. Does time lag of nutrient utilization justify Monod's model of bacterial growth? Bulletin of Mathematical Biology 55: 487-489.

Gyllenberg, M., Gyllenberg, H. G., Koski, T. & Schindler, J. 1993. Nonuniqueness of numerical taxonomic structures. Binary 5: 138-144.

Gyllenberg, M., Koski, T. & Verlaan, M. 1993. On quantization of binary vectors using stochastic complexity. In: L. Mansson (ed.): Proceedings of the Sixth Joint Swedish-Russian International Workshop on Information Theory (Molle 1993), Student litteratur, Lund, pp. 240-244.

Gyllenberg, M., Söderbacka, G. & Ericsson, S. 1993. Does migration stabilize local population dynamics? Analysis of a discrete metapopulation model. Mathematical Biosciences 118: 25-49.

Hanski, I. & Gyllenberg, M. 1993. Two general metapopulation models and the core-satellite species hypothesis. The American Naturalist 142: 17-41.

Kisdi, É. & Meszéna, G. 1993. Density dependent life history evolution in fluctuating environments. In: C. W. Clark & J. Yoshimura (eds.): Adaptation in a stochastic environment, Lecture Notes in Biomathematics 98: 26-62, Springer Verlag, Berlin.

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Gyllenberg, M. & Hanski, I. 1992. Single-species metapopulation dynamics: A structured model. Theoretical Population Biology 42: 35-62.

Gyllenberg, M. & Webb, G. F. 1992. Asynchronous exponential growth of semigroups of nonlinear operators. J. Math. Anal. Appl. 167: 443-467.

Metz, J. A. J., Nisbet, R. M. & Geritz, S. A. H. 1992. How should we define "fitness" for general ecological scenarios? Trends in Ecology and Evolution 7: 198-202.

Oksanen, T., Oksanen, L. & Gyllenberg, M. 1992. Exploitation ecosystems in heterogenous habitat complexes II: Impact of small-scale heterogeneity on predator prey dynamics. Evolutionary Ecology 6: 383-398.

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