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Dynamics of a modified Leslie-Gower predator-prey model with linear harvesting
  • Juan Ye,
  • Chuanjun Dai,
  • Min Zhao
Juan Ye
School of Mathematics and Physics, Wenzhou University
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Chuanjun Dai
Key Laboratory for Subtropical Oceans and Lakes Environment and Biological Resources Utilization Technology of Zhejiang, Wenzhou University
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Min Zhao
Wenzhou University

Corresponding Author:zmcn@tom.com

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Abstract

In this paper, a modified Leslie-Gower predator-prey model with strong Allee effect and double harvesting was studied analytically and numerically. The aim of the research is to provide an understanding of the impact of harvesting on the predator-prey model. The existence and stability of the equilibria was discussed, and we analyzed the existence of some bifurcations, such as saddle-node bifurcation, Hopf bifurcation and Bogdanov-Takens bifurcation. Furthermore, some numerical simulations were proposed to illustrate the dynamics of the model. Numerical results are consistent with the analytical results.