This course is an introduction to the mathematical modeling of the sprea= d of infectious diseases in populations, and to mathematical techniques for= analyzing the resulting models. The course will first discuss various type= s of basic ordinary differential equation (ODE) models, and their underlyin= g assumptions. We will then briefly touch upon some basic stochastic models= . Once the basics are in place, we will study more advanced topics such as<= /p>=20

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- more general dependence of infectivity and virulence on the time since = infection =20
- the effects of population structures, including age structure and sex s= tructure =20
- the effects of contact patterns within population =20
- spatial models =20
- competitive exclusion of parasite strains, and the evolution of parasit= e virulence and host defense =20

Thana= te Dhirasakdanon (Email, PGP public key)

=20Office hour (A412): Monday, 13:00-14:00, and by appointment.

=2010 cu.

=20Advanced studies

=20Some familiarity with (ordinary) differential equations and elementary p= robability theory. Other mathematical tools will be developed in class as n= eeded.

=20Weeks 36-42 and 44-50, Monday 14:15-16:00 in room C123 and Thursday 10:1= 5-12:00 in room B321. Two hours of exercise classes per week.

=20Lecture notes (last updated 19 Jan 2012)

=20I found myself relying mainly on the following two books.

=20- =20
- F. Brauer
*et al.*(eds.), Mathematical Epidemiology (Lecture No= tes in Mathematics), Springer, 2008. =20
- H. R. Thieme, Mathematics in Population Biology, Princeton University P= ress, 2003. =20

Additional texts:

=20- =20
- O. Diekmann and J.A.P. Heesterbeek, Mathematical Epidemiology of Infect= ious Diseases, Wiley, 2000. =20
- H. Andersson and T. Britton, Stochastic Epidemic Models and Their Stati= stical Analysis (Lecture Notes in Statistics), Springer, 2000. =20
- M. Nowak and R. May, Virus Dynamics: Mathematical Principles of Immunol= ogy and Virology, Oxford University Press, 2000. =20
- U. Dieckmann
*et al*. (eds.), Adaptive Dynamics of Infectious Di= seases, Cambridge University Press, 2002. =20
- M. Keeling and P. Rohani, Modeling Infectious Diseases in Humans and An= imals, Princeton University Press, 2007. =20

See also: the webpage of =EF=BB=BFprevious course.

=20Did you forget to register? What to do.

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Group | Day | Time | Place | Instructor |
---|---|---|---|---|

1. | Wednesday | 14:15-16:00 | C130 | Ilmari Karonen (Email) <= /td>=20 |