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GLOBAL DYNAMICS OF A PREDATOR-PREY MODEL WITH PREY REFUGE AND DISEASE
Authors:Zaowang Xiao and Zhong Li
Affiliation:College of Math. and Computer Science, Fuzhou University, Fuzhou 350116, Fujian, PR China and College of Math. and Computer Science, Fuzhou University, Fuzhou 350116, Fujian, PR China
Abstract:In this paper, we study a predator-prey model with prey refuge and disease. We study the local asymptotic stability of the equilibriums of the system. Further, we show that the equilibria are globally asymptotically stable if the equilibria are locally asymptotically stable. Some examples are presented to verify our main results. Finally, we give a brief discussion.
Keywords:predator-prey model   prey refuge   disease   stability
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