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HOPF BIFURCATION OF AN INFECTED PREDATOR-PREY SYSTEM WITH PREY REFUGE

HOPF BIFURCATION OF AN INFECTED PREDATOR-PREY SYSTEM WITH PREY REFUGE
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摘要 In this paper, an infected predator-prey model with prey refuge is investigated. The effects of refuge on the stability of the equilibria of the system are analyzed. Moreover, using the criterion introduced by Liu, we derive the Hopf bifurcation conditions of the system with respect to the refuge value. In this paper, an infected predator-prey model with prey refuge is investigated. The effects of refuge on the stability of the equilibria of the system are analyzed. Moreover, using the criterion introduced by Liu, we derive the Hopf bifurcation conditions of the system with respect to the refuge value.
出处 《Annals of Differential Equations》 2013年第1期44-50,共7页 微分方程年刊(英文版)
基金 Project supported by the Science and Technology Research Fund of Department of Education of Henan Province (12A110012) Ph.D. Programs Foundation of Henan Normal University (1001) Young Foundation of Henan Normal University
关键词 infected prey Hopf bifurcation prey refuge STABILITY infected prey Hopf bifurcation prey refuge stability
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参考文献10

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