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
Recommended Citation
Cushing, J. M.; Levarge, Sheree; Chitnis, Nakul; and Henson, Shandelle M., "Some Discrete Competition Models and the Competitive Exclusion Principle" (2004). Faculty Publications. 2086.
https://digitalcommons.andrews.edu/pubs/2086
