摘要
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.
出处
《衡水学院学报》
2008年第4期7-11,共5页
Journal of Hengshui University
关键词
时滞
HOPF
分支方向
time delay
Hopfbifurcation
bifurcation direction