Competitive exclusion and coexistence in a Lotka–Volterra competition model with Allee effects and stocking

Mihiri De Silva, Sophia R.J. Jang

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

We propose a Lotka–Volterra competition model of two populations where one population is subject to Allee effects and is also under stocking to investigate competition outcomes. The resulting model is analysed by studying its global asymptotic dynamics. In some cases, the endangered population can drive the other population to extinction, while in other cases, the endangered population cannot survive. Coexistence of both competing populations is possible in some parameter regimes. It is concluded that considerable care must be taken before implanting the population that is subject to Allee effects.

Original languageEnglish
Pages (from-to)56-66
Number of pages11
JournalLetters in Biomathematics
Volume2
Issue number1
DOIs
StatePublished - Jan 1 2015

Keywords

  • Allee effects
  • Lotka–Volterra competition model
  • stability
  • stocking

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