STABILITY AND BIFURCATION ANALYSIS OF A PREDATOR-PREY MODEL WITH CROWLEY-MARTIN TYPE FUNCTIONAL RESPONSE AND TIME DELAY  

作　　者：Yingguo Li ,Junbin Ke(School of Math.and Computer Science,Fujian Normal University,Fuzhou 350007) 

出　　处：《Annals of Differential Equations》2012年第4期404-411,共8页微分方程年刊（英文版）

摘　　要：In this paper,a class of predator-prey model with Crowley-Martin type functional response and time delay is considered.By choosing the delay as a bifurcation parameter,it is shown that Hopf bifurcation occurs as the delay passes through a certain critical value.Some numerical simulations for verifying the main results are also provided.In this paper,a class of predator-prey model with Crowley-Martin type functional response and time delay is considered.By choosing the delay as a bifurcation parameter,it is shown that Hopf bifurcation occurs as the delay passes through a certain critical value.Some numerical simulations for verifying the main results are also provided.

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

分 类 号：O175[理学—数学]