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具有避难所的不连续食饵–捕食者模型的动力学研究
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Abstract:
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.
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