Analysis of compensatory Leslie matrix models for competing species

C. C. Travis, W. M. Post, D. L. DeAngelis, J. Perkowski

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

Analytic conditions determining the stability of equilibria to small perturbations are developed for general discrete time, multiple age-class models of two competing or mutualistic species. The conditions are simple to apply and can be stated ecologically as follows. Each of the interacting species must be stable in the absence of other species, and the strength of species self-interaction must be strong compared to the strength of interspecies interaction. These results can only be applied to models where intraspecific interactions occur within age classes. The stability conditions developed are applied to a particular two-species, two-age-class model useful in describing competing fish populations where the young-of-the-year suffer mortality due to predation by the other species. The applicability of the stability conditions to multispecies communities is also discussed.

Original languageEnglish (US)
Pages (from-to)16-30
Number of pages15
JournalTheoretical Population Biology
Volume18
Issue number1
DOIs
StatePublished - Jan 1 1980

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics

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