Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking

Ziyad AlSharawi, Mohamed Rhouma

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

The principle of competitive exclusion states that when the competition between species is sufficiently strong, only the dominant species survives. In this paper, we examine the strategies of using stocking and harvesting to prevent the extinction of the weak species in a competitive exclusion environment. We find that in a system governed by the Leslie/Gower model careful stocking will ensure the coexistence between all species. We also find that constant harvesting of the dominant species may guarantee the survival of the weaker species when the parameters of the model are in a certain range. Mixed strategies and conditional harvesting strategies are also discussed.

Original languageEnglish
Pages (from-to)1031-1053
Number of pages23
JournalJournal of Difference Equations and Applications
Volume15
Issue number11-12
DOIs
Publication statusPublished - 2009

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Keywords

  • Coexistence
  • Competitive exclusion
  • Extinction
  • Harvesting
  • Leslie/Gower model
  • Stocking

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics
  • Analysis

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