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

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 d...

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Bibliographic Details
Published inLetters in biomathematics Vol. 2; no. 1; pp. 56 - 66
Main Authors De Silva, Mihiri, Jang, Sophia R.-J.
Format Journal Article
LanguageEnglish
Published Taylor & Francis 01.01.2015
Subjects
Allee effects
Lotka-Volterra competition model
stability
stocking
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Summary: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.
ISSN:2373-7867
2373-7867
DOI:10.1080/23737867.2015.1048316