Bistable traveling waves for a competitive-cooperative system with nonlocal delays

被引：19

作者：

Tian, Yanling ^{[1
]}

Zhao, Xiao-Qiang ^{[2
,3
]}

机构：

[1] South China Normal Univ, Guangdong Prov Engn Technol Res Ctr Data Sci, Sch Math, Guangzhou 510631, Guangdong, Peoples R China

[2] Northwest Univ, Sch Math, Xian 710127, Shaanxi, Peoples R China

[3] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年 / 264卷 / 08期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Bistable traveling waves; Nonlocal delays; Monotone semiflows; Global stability; MONOTONE SEMIFLOWS; STABILITY;

D O I：

10.1016/j.jde.2018.01.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study of bistable traveling waves for a competitive-cooperative reaction and diffusion system with nonlocal time delays. The existence of bistable waves is established by appealing to the theory of monotone semiflows and the finite-delay approximations. Then the global stability of such traveling waves is obtained via a squeezing technique and a dynamical systems approach. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：5263 / 5299

页数：37

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