一类三种群食物链模型正平衡解的稳定性与Hopf分支的存在性  

Stability and Hopf Bifurcation of A Hybrid Ratio-Dependent Three Species Food Chain Model

作　　者：赵廷芳[1] 卢梦霞[1] 赵汇涛[1] 

机构地区：[1]周口师范学院数学与信息科学系,河南周口466001

出　　处：《河南大学学报（自然科学版）》2010年第3期238-243,共6页Journal of Henan University:Natural Science

基　　金：周口师范学院青年基金资助项目(zknuqn200908)

摘　　要：研究了一类混合比率依赖的三种群生物模型的Hopf分支与混沌控制.取时滞作为分支参数,得出当经过分支点时,系统的正平衡点的稳定性发生改变,并且从正平衡点处分支出周解解,从而导致混沌现象的消失,并在文未给出数值模拟.In this paper,a hybrid ratio-dependent three species food chain model with time delay is studied by using the theory of functional equation and Hopf bifurcation,the condition on which positive equilibrium exists are given. Finally,we give several numerical simulations,which indicate that when the delay passes through certain critical values,chaotic oscillation is converted into a stable state or a stable periodic orbit.

关 键 词：混合比率依赖 混沌 HOPF分支 混沌控制 稳定性 

分 类 号：O175.1[理学—数学]