Class at Faculty of Mathematics and Physics |
NMMA466
Syllabus
1. Population models (Malthusian growth model, model with capacity of environment, Lotka--Volterra predator-prey model, Holling--Tanner, Gause's model with a shelter). 2.
Epidemiologic models (SIR, SLIAR, SIR with space variable). 3. Replicator dynamics.
Annotation
We derive some biological models (e.g. predator-prey models, epidemiological models, population models) and apply results of the theory of ordinary differential equations to these models.