%0 Journal Article
%T 具有避难所的不连续食饵–捕食者模型的动力学研究<br>Dynamics Research of a Discontinuous Predator-Prey Model with Shelter
%A 张芸
%J Advances in Applied Mathematics
%P 3028-3034
%@ 2324-8009
%D 2022
%I Hans Publishing
%R 10.12677/AAM.2022.115322
%X 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。<br />
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.
%K 食饵–捕食者模型，Lyapunov函数，平衡点，稳定性<br>Predator-Prey Model
%K Lyapunov Function
%K Equilibrium
%K Stability
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=51941