Asymptotic stability of traveling wave fronts in nonlocal reaction-diffusion equations with delay

被引：25

作者：

Wu, Shi-Liang ^{[1
]}

Li, Wan-Tong ^{[2
]}

Liu, San-Yang ^{[1
]}

机构：

[1] Xidian Univ, Dept Appl Math, Xian 710071, Shaanxi, Peoples R China

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 360卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Asymptotic stability; Nonlocal reaction-diffusion equations; Traveling wave fronts; Delays; Weighted energy method; NICHOLSONS BLOWFLIES EQUATION; SYSTEMS; MODEL; CONVERGENCE;

D O I：

10.1016/j.jmaa.2009.06.061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the asymptotic stability of traveling wave fronts of a class of nonlocal reaction-diffusion equations with delay. Under monostable assumption, we prove that the traveling wave front is exponentially stable by means of the (technical) weighted energy method, when the initial perturbation around the wave is suitable small in a weighted norm. The exponential convergent rate is also obtained. Finally, we apply our results to some population models and obtain some new results, which recover, complement and/or improve a number of existing ones. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：439 / 458

页数：20

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