Some Discrete Competition Models and the Competitive Exclusion Principle
Competition models, Competitive exclusion principle, Difference equations, Global stability, Leslie/Gower model, Lotka/Volterra dynamics
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 of Difference Equations and Applications
Cushing, J. M.; Levarge, Sheree; Chitnis, Nakul; and Henson, Shandelle M., "Some Discrete Competition Models and the Competitive Exclusion Principle" (2004). Faculty Publications. 2086.