Asymptotic dynamics of a modified discrete Leslie-Gower competition system

Yunshyong Chow, Sophia R.J. Jang

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We propose a modified discrete-time Leslie-Gower competition system of two populations to study competition outcomes. Depending on the magnitude of a particular model parameter that measures intraspecific competition between individuals within the same population, either one or both populations may be subject to Allee effects. The resulting system can have up to four coexisting steady states. Using the theory of planar competitive maps, it is shown that the model has only equilibrium dynamics. The competition outcomes then depend not only on the parameter regimes but may also depend on the initial population distributions.

Original languageEnglish
Article number1750076
JournalInternational Journal of Biomathematics
Volume10
Issue number6
DOIs
StatePublished - Aug 1 2017

Keywords

  • Allee effects
  • Competition
  • saddle points

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