论文标题
对猎物的修改后的Leslie-Gower捕食模型的稳定性分析
Stability analysis of a modified Leslie-Gower predation model with weak Allee effect on the prey
论文作者
论文摘要
在此手稿中，我们研究了具有双曲线功能响应和弱质量效应的Leslie-Gower Predator-Prey模型。结果表明，该模型支持捕食者和猎物种群的共存和振荡。我们还确定了参数空间中的区域，其中不同种类的分叉，例如马鞍节分叉，霍夫夫分叉和bogdanov-takens分叉。
In this manuscript, we study a Leslie-Gower predator-prey model with a hyperbolic functional response and weak Allee effect. The results reveal that the model supports coexistence and oscillation of both predator and prey populations. We also identify regions in the parameter space in which different kinds of bifurcations, such as saddle-node bifurcations, Hopf bifurcations and Bogdanov-Takens bifurcations.
