Traveling waves for delayed non-local diffusion equations with crossing-monostability

被引：11
|
作者：
Wu, Shi-Liang [1 ]
Liu, San-Yang [1 ]
机构：
[1] Xidian Univ, Dept Appl Math, Xian 710071, Shaanxi, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 04期
关键词：
Traveling waves; Existence; Non-local diffusion; Crossing-monostability; Schauder's fixed point theorem; NICHOLSONS BLOWFLIES EQUATION; EVOLUTION-EQUATIONS; FRONTS; SYSTEMS; EXISTENCE; UNIQUENESS; STABILITY; DYNAMICS; MODEL;
D O I：
10.1016/j.amc.2009.05.056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the traveling waves for a class of delayed non-local diffusion equations with crossing-monostability. Based on constructing two associated auxiliary delayed non-local diffusion equations with quasi-monotonicity and a profile set in a suitable Banach space using the traveling wave fronts of the auxiliary equations, the existence of traveling waves is proved by Schauder's fixed point theorem. The result implies that the traveling waves of the delayed non-local diffusion equations with crossing-monostability are persistent for all values of the delay tau >= 0. (C) 2009 Elsevier Inc. All rights reserved.
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页码：1435 / 1444
页数：10
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