PřF:M7116 Structured population models - Course Information
M7116 Structured population models
Faculty of Scienceautumn 2021
The course is not taught in autumn 2021
- Extent and Intensity
- 2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Recommended Type of Completion: k (colloquium). Other types of completion: zk (examination).
Taught in person. - Teacher(s)
- 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 - Prerequisites
- any linear algebra, any calculus
- Course Enrolment Limitations
- The course is offered to students of any study field.
- Course objectives
- Structured population models (dynamic models with discrete or continuous time and a structure variable that is usually a vector one) represent one of basic theoretical tools for population ecology and demography; the word "population" is meant in a very broad sense. The aim of the subject is to teach students to construct models of evolution of population that is structured to finite number of classes and subsequently to analyze models with constant matrix in details (both transient and asymptotic dynamics) and to introduce methods to analyze models with time or frequency dependent matrices. Further, the subject will inform on possibilities how to model continuous, i.e. infinite-dimensional, structure variable.
- 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. - Syllabus
- 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
- 8. Models with continuous structure.
- Literature
- CASWELL, Hal. Matrix population models :construction, analysis, and interpretation. 2nd ed. Sunderland, Mass.: Sinauer Associates. xvi, 722 s. ISBN 0-87893-096-5. 2001. info
- Teaching methods
- Lecture with class discussion.
- Assessment methods
- Colloquium should demonstrate the ability of students to understand the studied problems by elaborating a group project.
The optional exam is the oral one. - Language of instruction
- Czech
- Further Comments
- The course is taught once in two years.
The course is taught: every week.
- Enrolment Statistics (autumn 2021, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2021/M7116