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Program.
- Suggested textbook for the course:
M. Iannelli, A. Pugliese. An introduction to mathematical population dynamics, Springer 2014.
Written notes on several topics are and will be made available on the page of the course on Didattica-on-line.
Other texts to look at are:
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J.D. Murray: Mathematical Biology, vol. I, Springer 2002.
- F. Brauer, C. Castillo-Chavez: Mathematical models in population biology and epidemiology, Springer, 2001.
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Lectures (Sections refer to the textbook):
18/9:
Malthus and Verhulst equations. (Sections 1.1-1.3; 1.5)
19/9:
Generalised logistic. Allee effect. Harvesting (Sections 1.4; 1.6; 1.10)
25/9:
Models with delay. Delayed Malthus model. Distributed delay logistic model (intro) (Sections 2.1; 2.2; 2.4). Mathematical background (Sections A.3; B.1; B.2)
26/9: Analysis of the logistic model with distributed delay (Section 2.4). Equilibrium stability of non-linear systems (Section A.4).
- Exercises
- Sheet 1. Growth of single population.
- Sheet 2. Population models with delays.
- Computer programs.
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