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Lecturer(s)
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Kučera Milan, Prof. RNDr. DrSc.
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Course content
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Population models based on ordinary differential equations, stationary states, their stability and interpretation. Dependence of stationary states and their stability on parameters. Periodic cycles, using of Hopf bifurcation theorem and Poincare-Bendixon theorem. Models of chemical (biochemical) reactions, models of propagation of infectious diseases and their qualitative analysis.
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Learning activities and teaching methods
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Lecture supplemented with a discussion, One-to-One tutorial, Individual study, Self-study of literature
- Contact hours
- 26 hours per semester
- Preparation for an examination (30-60)
- 52 hours per semester
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| prerequisite |
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| Knowledge |
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| Knowledge of ordinary differential equations (on the level of the course KMA ODR). |
| learning outcomes |
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| After a succesful finishig the course, students will have a basic survey on modelling in biology by using ordinary differential ewquations. |
| teaching methods |
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| Lecture supplemented with a discussion |
| Self-study of literature |
| Individual study |
| One-to-One tutorial |
| assessment methods |
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| Combined exam |
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Recommended literature
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Allman, Elizabeth Spencer; Rhodes, John A. Mathematical models in biology : an introduction. 1st pub. New York : Cambridge University Press, 2004. ISBN 0-521-52586-1.
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Murray, J. D. Mathematical biology. 2nd ed. corr. Berlin : Springer, 1993. ISBN 3-540-57204-X.
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