Stability of traveling waves in a monostable delayed system without quasi-monotonicity

被引：31
|
作者：
Yang, Yun-Rui [1 ]
Li, Wan-Tong [2 ]
Wu, Shi-Liang [3 ]
机构：
[1] Lanzhou Jiaotong Univ, Sch Math & Phys, Lanzhou 730070, Gansu, Peoples R China
[2] Lanzhou Univ, Sch Math & Phys, Lanzhou 730000, Gansu, Peoples R China
[3] Xidian Univ, Dept Math, Xian 710071, Shaanxi, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2013年 / 14卷 / 03期
关键词：
Traveling waves; Weighted energy method; Stability; NICHOLSONS BLOWFLIES EQUATION; REACTION-DIFFUSION SYSTEM; GLOBAL ASYMPTOTIC STABILITY; FRONTS; EXISTENCE; SPREAD; SPEED; MODEL;
D O I：
10.1016/j.nonrwa.2012.10.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with traveling waves of a monostable reaction-diffusion system with delay and without quasi-monotonicity. When the initial perturbation around the traveling wave is suitably small in a weighted norm, the exponential stability of all traveling wave solutions for the system with delay is proved by the weighted energy method. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1511 / 1526
页数：16
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