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

Yanwei Liu (Dept. of Math., Zhoukou Normal University, Zhoukou 466001, Henan) Xia Liu (College of Math. and Information Science, Henan Normal University, Xinxiang 453007, Henan)  
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.
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