GLOBAL DYNAMICS OF A PREDATOR-PREY MODEL WITH PREY REFUGE AND DISEASE |
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Authors: | Zaowang Xiao and Zhong Li |
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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 |
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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. |
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Keywords: | predator-prey model prey refuge disease stability |
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