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Volume 10, Number 4, 2020, Pages 1683-1697                                                                DOI:10.11948/20190426
Dynamical behavior analysis of a two-dimensional discrete predator-prey model with prey refuge and fear factor
Rui Ma,Yuzhen Bai,Fei Wang
Keywords:Discrete predator-prey model, fear factor, fixed points, flip bifurcation, Neimark-Sacker bifurcation.
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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