PřF:M7116 Matrix population models - Course Information
M7116 Matrix population modelsFaculty of Science
Autumn 2010 - only for the accreditation
- Extent and Intensity
- 2/0. 2 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: k (colloquium).
- prof. RNDr. Zdeněk Pospíšil, Dr. (lecturer)
- Guaranteed by
- prof. RNDr. Zdeněk Pospíšil, Dr.
Department of Mathematics and Statistics - Departments - Faculty of Science
- any linear algebra, any calculus
- Course Enrolment Limitations
- The course is offered to students of any study field.
- Course objectives
- Matrix population models (discrete finite-dimensional dynamical models) represent one of basic theoretical tools for population ecology and demography. At the end of this course students should be able to:
Construct the models (in collaboration with ecologists or demographers);
analyse the model mathematically;
interpret the results of analysis.
- 1. Age and stage structured models
- 2. Leslie and projction matrices
- 3. Steady states, their existence and stability. Perron-Frobenius theorem
- 4. Parameters identification from observed data
- 5. Density-dependent models
- 6. Two-sex models
- 7. Models with external variability
- CASWELL, Hal. Matrix population models :construction, analysis, and interpretation. 2nd ed. Sunderland, Mass.: Sinauer Associates, 2001. xvi, 722 s. ISBN 0-87893-096-5. info
- Teaching methods
- Lecture with class discussion.
- Assessment methods
- Colloquium should demonstrate the ability of students to understand the studied problems.
- Language of instruction
- Further Comments
- The course is taught once in two years.
The course is taught: every week.