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

Authors

  • Mihiri De Silva Department of Mathematics, Texas Tech University, Lubbock, TX, USA Author
  • Sophia R.-J. Jang Department of Mathematics, Texas Tech University, Lubbock, TX, USA Author

DOI:

https://doi.org/10.30707/LiB2.1DeSilva

Keywords:

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

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.

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Published

2023-11-11

Issue

Section

Research

How to Cite

Competitive exclusion and coexistence in a Lotka–Volterra competition model with Allee effects and stocking. (2023). Letters in Biomathematics, 2(1), 56-66. https://doi.org/10.30707/LiB2.1DeSilva

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