Dynamics and patterns of a diffusive Leslie-Gower prey-predator model with strong Allee effect in prey

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:261

Article

Ni, Wenjie¹  Wang, Mingxin¹ 

[1] Harbin Inst Technol, Nat Sci Res Ctr, Harbin 150080, Peoples R China

关键词: Diffusive Leslie-Gower model;    Strong Allee effect;    Dynamical properties;    Stationary patterns;   

DOI  :  10.1016/j.jde.2016.06.022

来源: Elsevier

【 摘 要 】

This paper is devoted to study the dynamical properties and stationary patterns of a diffusive Leslie-Gower prey-predator model with strong Alice effect in the prey population. We first analyze the non negative constant equilibrium solutions and their stabilities, and then study the dynamical properties of time-dependent solutions. Moreover, we investigate the stationary patterns induced by diffusions (Turing pattern). Our results show that the impact of the strong Allee effect essentially increases the system spatiotemporal complexity. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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