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PřF:M7116 Structured population models - Course Information

## M7116 Structured population models

**Faculty of Science**

Spring 2023

**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).
**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, i.e. discrete dynamical models with discrete (matrix) or continuous (integral) operator 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 certain 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 operators.
**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

**Literature**- 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

*recommended literature*- Ellner, P.E., Childs, D.Z., Rees, M. Data-driven Modelling of Structured Populations, Springer 2016, ISBN 978-3-319-28891-8

*not specified*- CASWELL, Hal.
**Teaching methods**- Lecture with class discussion focused on general questions, seminar talks over particular models. The political-epidemiological cicumstances cause replacing of teaching by an asynchronous distant form.
**Assessment methods**- Colloquium should demonstrate the ability of students to understand the studied problems by elaborating a group project.
**Language of instruction**- Czech
**Further comments (probably available only in Czech)**- The course is taught once in two years.

The course is taught: every week.

- Enrolment Statistics (recent)

- Permalink: https://is.muni.cz/course/sci/spring2023/M7116