PřF:M7116 Matrix population models - Course Information
M7116 Matrix population modelsFaculty of Science
- 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
Supplier department: Department of Mathematics and Statistics - Departments - Faculty of Science
- Mon 20. 2. to Mon 22. 5. Thu 10:00–11:50 MS1,01016
- 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. The aim of the subject is to teach students to construct models of evolution of population that is structured to finite number of classes (the word "population" is meant in a very broad sense) and subsequently to analyze models with constant matrix in details (both transient and asymptotic dynamics) and to inform them with methods to analyze models with time or frequency dependent matrices.
- Learning outcomes
- 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 and.
- Assessment methods
- Colloquium should demonstrate the ability of students to understand the studied problems by elaborating a group project.
- Language of instruction
- Further Comments
- Study Materials
The course is taught once in two years.