Some discrete competition models and the competitive exclusion principle

J. M. Cushing, Sheree Levarge, Nakul Chitnis, Shandelle M. Henson

Research output: Contribution to journalArticle

131 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1139-1151
Number of pages13
JournalJournal of Difference Equations and Applications
Volume10
Issue number13-15
DOIs
StatePublished - Nov 1 2004

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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