Global stability of wavefronts with minimal speeds for nonlocal dispersal equations with degenerate nonlinearity

被引：28

作者：

Zhang, Guo-Bao ^{[1
,2
]}

机构：

[1] NW Normal Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 17期

关键词：

Nonlocal dispersal; Traveling wavefronts; Global stability; Minimal speed; Super-subsolutions; Squeezing technique; REACTION-DIFFUSION SYSTEMS; TRAVELING-WAVES; ASYMPTOTIC STABILITY; CONVOLUTION MODEL; BEHAVIOR; EXISTENCE;

D O I：

10.1016/j.na.2011.06.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the global stability of wavefronts with minimal speeds for degenerate nonlocal dispersal equations. By the method of super- and subsolutions and a squeezing technique, the wavefront with minimal speed is proved to be globally asymptotically stable with phase shift. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：6518 / 6529

页数：12

共 34 条

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