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

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

Published
2015-12-01
How to Cite
De Silva, Mihiri, and Sophia R.-J. Jang. 2015. “Competitive Exclusion and Coexistence in a Lotka–Volterra Competition Model With Allee Effects and Stocking”. Letters in Biomathematics 2 (1), 56-66. https://doi.org/10.1080/23737867.2015.1048316.
Section
Research