Course objectives:
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The goal of this course is to acquaint students with use of differential equations (mainly ordinary) in mathematical models in biology and ecology
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Requirements on student
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The students should be able to combine a study of qualitative properties of differential equations (mainly ordinary) with relevant problems in biology and ecology.
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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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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Preparation for an examination (30-60)
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52
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Contact hours
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26
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Total
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78
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
Knowledge of ordinary differential equations (on the level of the course KMA ODR). |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
After a succesful finishig the course, students will have a basic survey on modelling in biology
by using ordinary differential ewquations. |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Combined exam |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture supplemented with a discussion |
Self-study of literature |
Individual study |
One-to-One tutorial |
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