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Lecturer(s)
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Berec Luděk, doc. Ing. Dr.
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Křivan Vlastimil, prof. RNDr. CSc.
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Course content
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A Ecology 1. Models of optimal food selection: Applications of optimization 2. A model of the spatial distribution of population: Application of game theory 3. Single-species models of population growth: Logistic differential equation 4. Logistic differential equation - Chaos 5. Deterministic chaos 6. Generalized models of a predator and its prey B Epidemiology 7. Epidemic models, SIR model, infection control 8. Endemic diseases, types of infection transmission, dynamics of infections in animals 9. Diseases with free-living infectious stages 10. Infections transmitted by vectors 11. Infections caused by macroparasites 12. Evolution of hosts and pathogens
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with multi-media resources (texts, internet, IT technologies)
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Learning outcomes
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After passing this course, the student should have an idea about what are mathematical models good for in ecology and epidemiology, how one can develop and analyze them, and how their results can be interpreted.
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Prerequisites
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unspecified
UMB/587
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Assessment methods and criteria
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Interview, Combined exam
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Recommended literature
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Berec, L. Matematická biologie I. e-learning.jcu.cz, PřF JU.
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Keeling, Matthew James; Rohani, Pejman. Modeling infectious diseases : in humans and animals. Princeton : Princeton University Press, 2008. ISBN 978-0-691-11617-4.
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Kot, Mark. Elements of mathematical ecology. First published. Cambridge : Cambridge University Press, 2001. ISBN 0-521-00150-1.
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