Multiple attractors in a Leslie-Gower competition system with Allee effects

Yunshyong Chow, Sophia R.J. Jang

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We investigate asymptotic dynamics of the classical Leslie-Gower competition model when both competing populations are subject to Allee effects. The system may possess four interior steady states. It is proved that for certain parameter regimes both competing populations may either go extinct, coexist or one population drives the other population to extinction depending on initial conditions.

Original languageEnglish
Pages (from-to)169-187
Number of pages19
JournalJournal of Difference Equations and Applications
Volume20
Issue number2
DOIs
StatePublished - Feb 2014

Keywords

  • Allee effects
  • global stable manifolds
  • monotone maps

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