HOPF BIFURCATION ANALYSIS OF A PREDATOR-PREY MODEL WITH TIME-DELAY  

作　　者：Hongbing Chen,Wansheng He,Xiaoke Sun (School of Math.and Statistics,Tianshui Normal University,Tianshui 741001,Gansu 

出　　处：《Annals of Differential Equations》2012年第1期15-20,共6页微分方程年刊（英文版）

基　　金：supported by the NSF of Gansu Province (096RJZE106); Tianshui Normal University (TSA1005)

摘　　要：In this paper,a predator-prey model of three species is investigated.By introducing a delay as a bifurcation parameter,it is found that Hopf bifurcation occurs when τ crosses some critical values.In this paper,a predator-prey model of three species is investigated.By introducing a delay as a bifurcation parameter,it is found that Hopf bifurcation occurs when τ crosses some critical values.

关 键 词：Hopf bifurcation STABILITY time delay predator-prey system equilibrium point 

分 类 号：O175.12[理学—数学]