Global stability of bistable traveling wavefronts for a three-species Lotka-Volterra competition system with nonlocal dispersal

被引：4

作者：

Hao, Yu-Cai ^{[1
]}

Zhang, Guo-Bao ^{[1
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Gansu, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2023年 / 16卷 / 05期

关键词：

Three-species competition system; nonlocal dispersal; bistable traveling wavefronts; global stability; uniqueness; EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; EVOLUTION-EQUATIONS; UNIQUENESS; EXISTENCE; SPEED; MODEL;

D O I：

10.1142/S1793524522501066

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper is devoted to the study of traveling wavefronts for a three-component Lotka-Volterra system with nonlocal dispersal. This system arises in the study of three-species competition model in which there is no competition between two of these three species. It has been shown that this system admits a bistable traveling wavefront. In this paper, we further investigate the stability of bistable traveling wavefronts. By constructing suitable super- and sub-solutions and using a dynamical system approach, we obtain the globally asymptotic stability of the bistable traveling wavefronts.

引用

页数：24

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