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2017:courses:petrovskii:start

Mathematical Theory of Biological Invasions

Sergei Petrovskii

University of Leicester, United Kingdom

Summary

Biological invasions – which is a generic name for the phenomena occurring after a new, “alien” species is introduced – is thought to be the second most serious threat to biodiversity worldwide. It is also a very practical problem as it causes billions of dollars of economic loss annually due to the direct damage to agriculture resulting from invasion of pests. Mathematical modelling is an efficient research tool to understand the dynamics of the alien species’ establishment and proliferation. I will consider a variety of modelling approaches and techniques that can be used to study this problem in different ecological context (e.g. homogeneous or heterogeneous environment, interspecific interactions etc.). The main focus will be on the factors that may affect the rate of spread, the spatial patterns arising in the wake of the spread, and the possibility of fighting the spread through biological control.

Lecture slides

Part 1: Introduction, overview of mathematical approaches, diffusion-reaction models of biological invasion

Part 2: Lattice models and integral-difference models of biological invasion

Lecture videos

2017/courses/petrovskii/start.txt · Last modified: 2024/01/09 18:45 by 127.0.0.1