具有避难所的不连续食饵–捕食者模型的动力学研究

Dynamics Research of a Discontinuous Predator-Prey Model with Shelter

本文研究了一类基于避难所控制策略的不连续食饵–捕食者模型的全局动力学。利用Filippov理论和非光滑分析方法得到了实平衡点和伪平衡点的存在性,并证明了这些平衡点的全局渐近稳定性。借助数值模拟,分析了所得结果的生物学意义。

In this paper, the global dynamics of a discontinuous predator-prey model based on shelter control strategy is studied. By using Filippov theory and non-smooth analysis method, the existence of real equilibrium and pseudo equilibrium is obtained, and the global asymptotic stability of these equi-libria is proved. With the help of numerical simulation, the biological significance of the obtained results is analyzed.