Some Discrete Competition Models and the Competitive Exclusion Principle

Document Type

Article

Publication Date

11-1-2004

Keywords

Competition models, Competitive exclusion principle, Difference equations, Global stability, Leslie/Gower model, Lotka/Volterra dynamics

Abstract

A difference equation model, called that Leslie/Gower model, played a key historical role in laboratory experiments that helped establish the "competitive exclusion principle" in ecology. We show that this model has the same dynamic scenarios as the famous Lotka/Volterra (differential equation) competition model. It is less well known that some anomalous results from the experiments seem to contradict the exclusion principle and Lotka/Volterra dynamics. We give an example of a competition model that has non-Lotka/Volterra dynamics that are consistent with the anomalous case.

Journal Title

Journal of Difference Equations and Applications

Volume

10

Issue

13-15

First Page

1139

Last Page

1151

DOI

https://doi.org/10.1080/10236190410001652739

First Department

Mathematics

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