Traveling wave of a nonlocal dispersal Lotka-Volterra cooperation model under shifting habitat

被引：13

作者：

Hu, Haijun ^{[1
,2
]}

Deng, Litian ^{[1
,3
]}

Huang, Jianhua ^{[2
]}

机构：

[1] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China

[2] Natl Univ Def Technol, Coll Arts & Sci, Changsha 410073, Hunan, Peoples R China

[3] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 500卷 / 01期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Lotka-Volterra cooperation model; Shifting habitat; Nonlocal dispersal; Forced traveling wave; FORCED WAVES; EXISTENCE; EQUATION;

D O I：

10.1016/j.jmaa.2021.125100

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the forced traveling wave solution of a nonlocal dispersal Lotka-Volterra cooperation model under the habitat shifting with a constant speed. Particularly, we relax the condition of intrinsic production so that there may be no sign change. By constructing a pair of upper and lower solutions and using the method of monotone iteration, we prove the existence of traveling wave solution for any positive constant shifting speed. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：13

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