Multiple mixed-type attractors in a competition model

J. M. Cushing, Shandelle M. Henson, Chantel C. Blackburn

Research output: Contribution to journalArticle

62 Scopus citations

Abstract

We show that a discrete-time, two-species competition model with Ricker (exponential) nonlinearities can exhibit multiple mixed-type attractors. By this is meant dynamic scenarios in which there are simultaneously present both coexistence attractors (in which both species are present) and exclusion attractors (in which one species is absent). Recent studies have investigated the inclusion of life-cycle stages in competition models as a casual mechanism for the existence of these kinds of multiple attractors. In this paper we investigate the role of nonlinearities in competition models without life-cycle stages.

Original languageEnglish (US)
Pages (from-to)347-362
Number of pages16
JournalJournal of biological dynamics
Volume1
Issue number4
DOIs
StatePublished - Oct 2007

Keywords

  • Coexistence cycles
  • Competitive exclusion principle
  • Multiple attractors

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

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