25 Scopus citations

Abstract

In this article, we study the population dynamics of a two-species discrete-time competition model where each species suffers from either predator saturation induced Allee effects and/or mate limitation induced Allee effects. We focus on the following two possible outcomes of the competition: 1. one species goes to extinction; 2. the system is permanent. Our results indicate that, even if one species' intra-specific competition is less than its inter-specific competition, weak Allee effects induced by predation saturation can promote coexistence of the two competing species. This is supported by the outcome of two-species competition models without Allee effects. Also, we discuss our results and future work on multiple attractors in competition models with Allee effects.

Original languageEnglish (US)
Pages (from-to)3329-3345
Number of pages17
JournalNonlinear Analysis: Real World Applications
Volume12
Issue number6
DOIs
StatePublished - Dec 1 2011

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Keywords

  • Allee effects
  • Coexistence
  • Competition
  • Extinction
  • Permanence
  • Ricker's model

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Economics, Econometrics and Finance(all)
  • Computational Mathematics
  • Applied Mathematics

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