Competitive exclusion and coexistence in a Leslie-Gower competition model with Allee effects

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Abstract

The classical competitive exclusion principle states that two populations competing for a limited resource cannot coexist, one of the populations will drive the other to extinction. We prove in this work that when one population is subject to Allee effects, then for certain parameter regimes both competing populations may either coexist or one population may drive the other to extinction depending on initial conditions.

Original languageEnglish
Pages (from-to)1527-1540
Number of pages14
JournalApplicable Analysis
Volume92
Issue number7
DOIs
StatePublished - Jul 2013

Keywords

  • Allee effects
  • global stable manifold
  • monotone map

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