M7116 Matrix population models

Faculty of Science
Autumn 2011 - acreditation

The information about the term Autumn 2011 - acreditation is not made public

Extent and Intensity
2/0. 2 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: k (colloquium).
Teacher(s)
prof. RNDr. Zdeněk Pospíšil, Dr. (lecturer)
Guaranteed by
prof. RNDr. Zdeněk Pospíšil, Dr.
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
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.
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
Teaching methods
Lecture with class discussion.
Assessment methods
Colloquium should demonstrate the ability of students to understand the studied problems.
Language of instruction
Czech
Further Comments
The course is taught once in two years.
The course is taught: every week.
The course is also listed under the following terms Autumn 2010 - only for the accreditation, Autumn 2004, Autumn 2006, Autumn 2008, Autumn 2010, Autumn 2012, Spring 2015, Spring 2017, Spring 2019, Spring 2021, Spring 2023, Spring 2025.