Dynamics of a modified Leslie-Gower predator-prey model with linear
harvesting
- Juan Ye,
- Chuanjun Dai,
- Min Zhao
![](https://d197for5662m48.cloudfront.net/assets/icons/omniauth/orcid-ca37582cd91a671ed5cec57770e0e96c01b4b79b8b5b75d8598fc1ddac18c974.svg)
Juan Ye
School of Mathematics and Physics, Wenzhou University
Author ProfileChuanjun Dai
Key Laboratory for Subtropical Oceans and Lakes Environment and Biological Resources Utilization Technology of Zhejiang, Wenzhou University
Author ProfileAbstract
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.