一类具有时滞的生态系统的分支分析

Hopf Bifurcation in a Class of Ecological System with Time Delay

利用时滞微分方程理论与Hopf分支的相关理论,对一类具有时滞的Lotka-Volterra进行了研究,对其惟一的正平衡点,给出了其存在Hopf分支的条件和分支方向.

In this paper, the Lotka-Volterr model with time delay is studied by using the theory of differential equation and Hopf bifurcation, and the condition on which positive equilibrium exists and the direction of Hopf bifurcation are given.