Wiki source code of Modelling fluctuating populations, fall 2006
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| 1 | = Modelling fluctuating populations, fall 2006 = | ||
| 2 | |||
| 3 | === Lecturer === | ||
| 4 | |||
| 5 | [[PhD Stefan Geritz>>doc:mathstatHenkilokunta.Geritz, Stefan]] | ||
| 6 | |||
| 7 | === Scope === | ||
| 8 | |||
| 9 | 10 sp. | ||
| 10 | |||
| 11 | === Type === | ||
| 12 | |||
| 13 | Advanced studies. | ||
| 14 | |||
| 15 | === Prerequisites === | ||
| 16 | |||
| 17 | Some familiarity with ordinary differential equations. | ||
| 18 | |||
| 19 | === Lectures === | ||
| 20 | |||
| 21 | Weeks 36-42 and 44-50, Tuesday 12-14 room C124, Thursday 12-14 room C122. | ||
| 22 | No lectures on 19 and 21 September; no exercise class on 22 September | ||
| 23 | |||
| 24 | === Contents === | ||
| 25 | |||
| 26 | This course is based on the book "Modelling fluctuating populations" by Nisbet and Gurney (1982). | ||
| 27 | |||
| 28 | A short list of the topics: Systems driven by fluctuating parameters, general principles, mathematical techniques for analyzing driven systems; Delayed regulation, distributed delays; Linear and non-linear birth-death processes in a static environment, demographic stochasticity, stationary and quasi-stationary probability distributions, extinction times; ed |12 - 1Stochastic environments, quasi-cyclic fluctuations. | ||
| 29 | |||
| 30 | === Homework === | ||
| 31 | |||
| 32 | [[Exercises 1-4>>url:http://mathstat.helsinki.fi/research/biometry/biomath/courses/fluct/ex1-4.pdf||shape="rect"]] | ||
| 33 | [[Exercises 5-6>>url:http://mathstat.helsinki.fi/research/biometry/biomath/courses/fluct/ex5-6.pdf||shape="rect"]] | ||
| 34 | [[Exercises 7-9>>url:http://mathstat.helsinki.fi/research/biometry/biomath/courses/fluct/ex7-9.pdf||shape="rect"]] | ||
| 35 | [[Exercises 10-11>>url:http://mathstat.helsinki.fi/research/biometry/biomath/courses/fluct/ex10-11.pdf||shape="rect"]] | ||
| 36 | [[Exercises 12-14>>url:http://mathstat.helsinki.fi/research/biometry/biomath/courses/fluct/ex12-14.pdf||shape="rect"]] | ||
| 37 | [[Exercises 15-16>>url:http://mathstat.helsinki.fi/research/biometry/biomath/courses/fluct/ex15-16.pdf||shape="rect"]] | ||
| 38 | [[Exercises 17-19>>url:http://mathstat.helsinki.fi/research/biometry/biomath/courses/fluct/ex17-19.pdf||shape="rect"]] | ||
| 39 | |||
| 40 | === Exercise groups === | ||
| 41 | |||
| 42 | |=((( | ||
| 43 | Group | ||
| 44 | )))|=((( | ||
| 45 | Day | ||
| 46 | )))|=((( | ||
| 47 | Time | ||
| 48 | )))|=((( | ||
| 49 | Place | ||
| 50 | )))|=((( | ||
| 51 | Instructor | ||
| 52 | ))) | ||
| 53 | |((( | ||
| 54 | 1. | ||
| 55 | )))|((( | ||
| 56 | Fri | ||
| 57 | )))|((( | ||
| 58 | 10 - 12 | ||
| 59 | )))|((( | ||
| 60 | B321 | ||
| 61 | )))|((( | ||
| 62 | Petr Ondracek | ||
| 63 | ))) |