Modelling fluctuating populations, fall 2006

Lecturer

PhD Stefan Geritz

Scope

10 sp.

Type

Advanced studies.

Prerequisites

Some familiarity with ordinary differential equations.

Lectures

Weeks 36-42 and 44-50, Tuesday 12-14 room C124, Thursday 12-14 room C122.
 No lectures on 19 and 21 September; no exercise class on 22 September

Contents

This course is based on the book "Modelling fluctuating populations" by Nisbet and Gurney (1982).

A short list of the topics: Systems driven by fluctuating parameters, general principles, mathematical techniques for analyzing driven systems; Delayed regulation, distributed delays; Linear and non-linear birth-death processes in a static environment, demographic stochasticity, stationary and quasi-stationary probability distributions, extinction times; ed |12 - 1Stochastic environments, quasi-cyclic fluctuations.

Homework

Exercises 1-4
Exercises 5-6
Exercises 7-9
Exercises 10-11
Exercises 12-14
Exercises 15-16
Exercises 17-19

Exercise groups