Existence, uniqueness and asymptotic behavior of traveling wave fronts for a generalized Fisher equation with nonlocal delay

被引：5

作者：

Wei, Jingdong ^{[1
]}

Tian, Lixin ^{[1
,2
]}

Zhou, Jiangbo ^{[1
]}

Zhen, Zaili ^{[1
]}

机构：

[1] Jiangsu Univ, Nonlinear Sci Res Ctr, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210046, Jiangsu, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2017年 / 103卷

基金：

中国国家自然科学基金;

关键词：

Generalized Fisher equation; Traveling wave fronts; Geometric singular perturbation theory; Asymptotic behavior; Uniqueness; NICHOLSONS BLOWFLIES EQUATION; SINGULAR PERTURBATION-THEORY; REACTION-DIFFUSION SYSTEMS; SOLITARY WAVES; STABILITY; MODEL;

D O I：

10.1016/j.chaos.2017.07.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with existence, uniqueness and asymptotic behavior of traveling wave fronts for a generalized Fisher equation with nonlocal delay. The existence of traveling wave fronts is established by linear chain trick and geometric singular perturbation theory. The strategy is to reformulate the problem as the existence of a heteroclinic connection in R-4. The problem is then tackled by using Fenichel's invariant manifold theory. The asymptotic behavior and uniqueness of traveling wave fronts are also obtained by using standard asymptotic theory and sliding method. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：536 / 543

页数：8

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