M9202 Mathematical modeling in ecology, epidemiology and evolution

Faculty of Science
Autumn 2013
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: k (colloquium).
Teacher(s)
doc. Ing. Luděk Berec, Dr. (lecturer)
Guaranteed by
prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Thu 12:00–15:50 MS1,01016
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
At the end of this course students will be able to: understand fundamentals of mathematical modeling in ecology, epidemiology and evolution; explain existing models; develop new models from the existing ones; derive and explain modeled dynamics of populations and communities; apply selected models on real problems;
Syllabus
  • 1. Introduction to mathematical modeling, models of the HIV virus spread
  • 2. Single-species population models
  • 3. Basic models of epidemic and endemic infections, disease control
  • 4. Stochastic models in ecology and epidemiology
  • 5. Multiple-species population models: predator-prey, competition
  • 6. Age-structured models
  • 7. Modeling evolution: game theory, adaptive dynamics
Literature
    recommended literature
  • Roff DA (2010) Modeling evolution. Oxford University Press
  • KOT, Mark. Elements of mathematical ecology. Cambridge: Cambridge University Press, 2001, ix, 453. ISBN 9780521001502. info
Teaching methods
Classes will be mostly based on presentations prepared by the teacher. They will include biological motivation to various topics, modelling itself, coverage of necessary mathematical tools, as well as application of selected models to real data. Classes will also be partly interactive: students will be asked to discuss strengths and weaknesses of various models and suggest extensions.
Assessment methods
Students will be mainly assessed based on their activity and knowledge during the final, round-table discussion that will cover all presented topics. Their active approach during classes will also contribute to their final assessment. Presence on at least four lectures is required.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught only once.
General note: Výuka probíhá jednou za dva týdny po 4 hodinách vždy ve čtvrtek od 12:00.
The course is also listed under the following terms Autumn 2012.
  • Enrolment Statistics (recent)
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