摘要
本文研究了一类具HollingⅡ功能反应的捕食-食饵系统,首先用Cook等人建立的关于超越函数的零点分布定理,研究了一类多时滞捕食-食饵系统的正平衡点的稳定性及局部Hopf分支。进而,再结合吴建宏等人的用等变拓扑度理论建立起的一般泛函微分方程的全局Hopf分支定理,进一步研究了该系统的全局Hopf分支的存在性。
A prey-predator system with Holling Ⅱ functional response is discussed in this paper. Firstly, the paper considers the stability and local Hopf bifurcation for a delayed preypredator model using the basic theorem on zeros of general transcendental function, which was established by Cook etc.. Furthermore, based on the global Hopf bifurcation theorem for general function differential equations, which was established by J. Wu etc. using degree theory methods, the existence of global Hopf bifurcation is investigated.
出处
《生物数学学报》
CSCD
北大核心
2009年第3期410-418,共9页
Journal of Biomathematics
