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STABILITY AND BIFURCATION ANALYSIS OF A PREDATOR-PREY MODEL WITH CROWLEY-MARTIN TYPE FUNCTIONAL RESPONSE AND TIME DELAY 被引量:1

STABILITY AND BIFURCATION ANALYSIS OF A PREDATOR-PREY MODEL WITH CROWLEY-MARTIN TYPE FUNCTIONAL RESPONSE AND TIME DELAY
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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.
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)
关键词 predator-prey model Crowley-Martin time delay STABILITY Hopf bifurcation predator-prey model Crowley-Martin time delay stability Hopf bifurcation
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参考文献11

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