Dynamical behavior analysis of a two-dimensional discrete predator-prey model with prey refuge and fear factor |
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| Authors: | Rui M Yuzhen Bai and Fei Wang |
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| Institution: | School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, PR China,School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, PR China and School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, PR China |
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| Abstract: | This paper investigates the dynamics of an improved discrete Leslie-Gower predator-prey model with prey refuge and fear factor. First, a discrete Leslie-Gower predator-prey model with prey refuge and fear factor has been introduced. Then, the existence and stability of fixed points of the model are analyzed. Next, the bifurcation behaviors are discussed, both flip bifurcation and Neimark-Sacker bifurcation have been studied. Finally, some simulations are given to show the effectiveness of the theoretical results. |
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| Keywords: | Discrete predator-prey model fear factor fixed points flip bifurcation Neimark-Sacker bifurcation |
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