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Dynamics and pattern formation in a modified Leslie-Gower model with Allee effect and Bazykin functional response

Dynamics and pattern formation in a modified Leslie-Gower model with Allee effect and Bazykin functional response
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摘要 In this paper, we study the dynamics of a diffusive modified Leslie-Cower model with the multiplicative Allee effect and Ba^zykin functional response. We give detailed study on the stability of equilibria. Non-existence of non-constant positive steady state solutions are shown to identify the rage of parameters of spatial pattern formation. We also give the conditions of Turing instability and perform a series of numerical simulations and find that the model exhibits complex patterns.
作者 Peng Feng
出处 《International Journal of Biomathematics》 2017年第5期301-326,共26页 生物数学学报(英文版)
关键词 PREDATOR-PREY LESLIE-GOWER Bazykin functional response Turing instability pattern formation global stability. Allee效应 er模型 功能反应 动力学 改装 不稳定性 解的存在性 空间模式
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