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Global Dynamics of a Diffusive Leslie-Gower Predator-prey Model with Fear Effect
  
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KeyWord:Leslie-Gower predator-prey model; Fear effect; Global stability
Author NameAffiliation
Zebin Fang Department of Mathematics, Harbin Institute of Technology, Weihai, Shandong 264209, China 
Shanshan Chen Department of Mathematics, Harbin Institute of Technology, Weihai, Shandong 264209, China 
Junjie Wei Department of Mathematics, Harbin Institute of Technology, Weihai, Shandong 264209, China
School of Science, Jimei University, Xiamen, Fujian 361021, China 
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Abstract:
      A diffusive Leslie-Gower predator-prey model with fear effect is considered in this paper. For the kinetic system, we show that the unique positive equilibrium is globally asymptotically stable. Moreover, we find that high levels of fear could decrease the population densities of both prey and predator in a long time. For the diffusive model, we obtain the similar results under certain conditions.