两个扩散耦合时滞捕食与被捕食模型的动态分析

The Dynamics Analysis of Two Diffusively Coupled Predator-Prey Model With Delay

本文研究了一类耦合时滞捕食与被捕食模型.利用时滞微分方程理论,研究了模型在平衡点处的稳定性、及产生周期解的情况.根据Hurwitz判据论证了在平衡点处稳定的充分条件,同时也论证了产生周期解的充分条件[1].

The model of the coupled prey - predator system with delay is considered. Stability analysis and the periodic solutions around the equilibriums are studied by using the theories of delay differential equation. According to Hurwitz criterion demonstrates the sufficient conditions of stability around the equilibrium point, also demonstrates the sufficient conditions of periodic solutions generation.