一类带有时滞的食物链系统周期解的存在性  

Existence of Periodic Solution in a Food Chain System with Time Delay

作　　者：陈媛媛[1] 于江[2] 

机构地区：[1]中原工学院数学系,河南郑州450007 [2]上海交通大学数学系,上海200240

出　　处：《山西大学学报（自然科学版）》2007年第1期28-31,共4页Journal of Shanxi University(Natural Science Edition)

摘　　要：对带有时滞的三种群食物链系统的Hopf分岔进行研究.讨论了非负平衡点的性质,运用Hopf分岔方法,以时滞τ为参数给出了系统经历Hopf分岔的条件.得到了构成食物链的三物种具有周期循环现象的结论.A kind of three level food chain system was studied. Firstly,the non-negative equilibria were discussed,and with the theory of Hopf bifurcation the conditions of the positive equilibrium undergoing Hopf bifurcation were given considering τ as parameter. The three types had periodic phenomena under such conditions.

关 键 词：食物链 HOPF分岔 时滞 周期解 

分 类 号：O175.13[理学—数学]