分数阶捕食-食饵系统的稳定性分析

Stability Analysis in a Delayed Fractional Predator-prey System

在本文中,我们给出了一种具有时滞的分数阶时滞捕食食饵系统,并研究了其稳定性和Hopf分岔。运用分数阶拉普拉斯变换和稳定性方法,以时滞作为分岔参数,得到了分数阶捕食食饵系统的稳定性区域。最后的数值模拟验证了理论结果的正确性。

In this paper,we propose a delayed fractional predator-prey system.The stability and Hopf bifurcations of the delayed fractional predator-prey system are investigated.The stability domain of the trivial stead state is characterized with respect to time delay,using the fractional Laplace transform and the method of stability switches.Finally,numerical simulation is carried out to testify the results found.