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We derive some biological models (e.g. predator-prey models,
epidemiological models, population models) and apply results of the
theory of ordinary differential equations to these models.
Last update: Pyrih Pavel, doc. RNDr., CSc. (04.05.2018)
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The course is concluded with an oral exam which can be waived on the basis of ongoing homework assignments. Last update: Bárta Tomáš, doc. RNDr., Ph.D. (23.05.2019)
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D. S. Jones, B. D. Sleeman: Differential equations and mathematical biology, Chapman & Hall, 2003.
J. D. Murray: Mathematical biology I: an introduction, Springer, 2002. Last update: Bárta Tomáš, doc. RNDr., Ph.D. (23.05.2019)
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Knowledge of the theory presented in the lectures, details at the web page of the lecturer. Last update: Bárta Tomáš, doc. RNDr., Ph.D. (23.05.2019)
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1. Population models (Malthusian growth model, model with capacity of environment, Lotka--Volterra predator-prey model, Holling--Tanner, Gause's model with a shelter).
2. Epidemiologic models (SIR, SLIAR, SIR with space variable).
3. Replicator dynamics. Last update: Bárta Tomáš, doc. RNDr., Ph.D. (10.05.2018)
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The course is a good supplement to the course Ordinary differential equations NMMA333. We recommend the students who are not acquainted with basic theory of ordinary differential equations to attend the course NMMA706 instead. Last update: Pyrih Pavel, doc. RNDr., CSc. (04.05.2018)
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