The Effects of Harvesting on the Dynamics of a Leslie–Gower Model

[摘要] In this paper, we study a Leslie–Gower predator-prey model with harvesting effects. We carry out local bifurcation analysis and stability analysis. Under certain conditions, the model is shown to undergo a supercritical Hopf bifurcation resulting in a stable limit cycle. Numerical simulations are presented to illustrate our theoretic results.

[学科分类] 安全、风险、质量和可靠性