Invasibility and stochastic boundedness in monotonic competition models

Peter Chesson, S. Ellner

Research output: Contribution to journalArticle

82 Citations (Scopus)

Abstract

We give necessary and sufficient conditions for stochastically bounded coexistence in a class of models for two species competing in a randomly varying environment. Coexistence is implied by mutual invasibility, as conjectured by Turelli. In the absence of invasibility, a species converges to extinction with large probability if its initial population is small, and extinction of one species must occur with probability one regardless of the initial population sizes. These results are applied to a general symmetric competition model to find conditions under which environmental fluctuations imply coexistence or competitive exclusion.

Original languageEnglish (US)
Pages (from-to)117-138
Number of pages22
JournalJournal of Mathematical Biology
Volume27
Issue number2
DOIs
StatePublished - Apr 1989
Externally publishedYes

Fingerprint

Competition Model
Coexistence
Monotonic
Boundedness
extinction
Biological Extinction
Extinction
competitive exclusion
Population Density
Competitive Exclusion
Varying Environment
Competing Species
population size
Population Size
Fluctuations
Population
Converge
Imply
Necessary Conditions
Sufficient Conditions

Keywords

  • Coexistence
  • Competition
  • Competitive exclusion
  • Invasibility
  • Stochastic boundedness

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Agricultural and Biological Sciences (miscellaneous)

Cite this

Invasibility and stochastic boundedness in monotonic competition models. / Chesson, Peter; Ellner, S.

In: Journal of Mathematical Biology, Vol. 27, No. 2, 04.1989, p. 117-138.

Research output: Contribution to journalArticle

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