Some Discrete Competition Models and the Competitive Exclusion Principle.

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 mine 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. [ABSTRACT FROM AUTHOR]