Stability of Traveling Wave Fronts for Nonlocal Diffusion Equation with Delayed Nonlocal Response

被引：9

作者：

Cheng, Hongmei ^{[1
]}

Yuan, Rong ^{[2
]}

机构：

[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China

[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2016年 / 20卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Nonlocal diffusion; Asymptotic stability; Traveling wave fronts; Super and subsolution; Comparisonprinciple; Squeezing method; Delayed nonlocalr esponse; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC STABILITY; EVANS FUNCTION; EXISTENCE; UNIQUENESS; SYSTEMS; MONOTONICITY; DISEASE; MODEL;

D O I：

10.11650/tjm.20.2016.6284

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider with the stability of traveling wave fronts for the nonlocal diffusion equation with delay and global response. We first establish the existence and comparison theorem of solutions for the nonlocal reaction-diffusion equation by appealing to the theory of abstract functional differential equation. Then we further show that the traveling wave fronts are asymptotical stability with phase shift. Our main technique is the super and subsolution method coupled with the comparison principle and squeezing method.

引用

页码：801 / 822

页数：22

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