【摘要】 本文首先用Cooke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-食饵系统正平衡点的稳定性及局部Hopf分支,在此基础上再结合吴建宏等人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.更多还原

【Abstract】 This paper considers the stability and local Hopf bifurcation for a delayed Predator-Prey model using the basic theorem on zeros of general transcendental function, which was established by Cooke etc. Furthermore, based on the global Hopf bifurcation theorem for general functional differential equations, which was established by Wu J. etc. using degree theory methods, the existence of global Hopf bifurcation is investigated.更多还原