Analysis of a diffusive Leslie-Gower predator-prey model with nonmonotonic functional response

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• 作者：Hongwei Yin^a ; ^{hongwei-yin@hotmail.com" class="auth_mail} ; Jiaxing Zhou^a ; Xiaoyong Xiao^a ; Xiaoqing Wen^b
• 刊名：Chaos, Solitons and Fractals
• 出版年：August 2014
• 年：2014
• 卷：65
• 期：Complete
• 页码：51-61
• 全文大小：1102 K

文摘

In this paper, a diffusive Leslie–Gower predator–prey system with nonmonotonic functional respond is studied. We obtain the persistence of this model and show the local asymptotic stability of positive constant equilibrium by linearized analysis and the global stability by constructing Liapunov function. Besides, Turing instability of this equilibrium is obtained. The existence and nonexistence of positive nonconstant steady states of this model are established. Furthermore, by numerical simulations we illustrate the patterns of prey and predator.