Population Dynamics

2015

Population movements at the fish market | Seal population at River Don, Aberdeenshire |

Lecture notes:

Ch1: Time-discrete deterministic dynamics, Modeling ideas, examples.

Ch2: Continuous-time deterministic dynamics. Review of dynamical systems theory, Examples, Epidemiological models. Epidemiological indicators.

Ch3: Stochastic models: Markov Jump processes, examples. Branching processes.

Ch4: Stochastic (continued): Kolmogorov Forward Equation (KFE).

Ch5: The deterministic limit. Connection between Stochastic and Deterministic approaches, Advantages and limitations.

Ch6: Practical problems with stochastic simulations. Approximations to the KFE.

Ch 7: Student's presentations.

This part of the course will be planned together with the participants and adjusted to the actual conditions.