HOPF BIFURCATION IN A PREDATOR-PREY MODEL WITH TWO DELAYS  

作　　者：Yingguo Li 

机构地区：[1]School of Math.and Computer Science,Fujian Normal University

出　　处：《Annals of Differential Equations》2014年第3期312-317,共6页微分方程年刊（英文版）

基　　金：supported by the Foundation of Fujian Education Bureau(JB12046)

摘　　要：In this paper,a predator-prey ecosystem with two delays is considered.Firstly,the stability of the equilibrium of the system is investigated by analyzing the characteristic equation.Secondly,by choosing the sum of the two delays as a bifurcation parameter,it is shown that Hopf bifurcation occurs as the parameter passes through a certain critical value.Finally,in order to illustrate our theoretical analysis,some numerical simulations are also included.In this paper,a predator-prey ecosystem with two delays is considered.Firstly,the stability of the equilibrium of the system is investigated by analyzing the characteristic equation.Secondly,by choosing the sum of the two delays as a bifurcation parameter,it is shown that Hopf bifurcation occurs as the parameter passes through a certain critical value.Finally,in order to illustrate our theoretical analysis,some numerical simulations are also included.

关 键 词：predator-prey model time delay STABILITY Hopf bifurcation 

分 类 号：O175[理学—数学]