Impact of nonlocal dispersal and time periodicity on the global exponential stability of bistable traveling waves

被引：4

作者：

Ma, Manjun ^{[1
]}

Meng, Wentao ^{[1
]}

Ou, Chunhua ^{[2
,3
]}

机构：

[1] Zhejiang Sci Tech Univ, Sch Sci, Dept Math, Hangzhou, Zhejiang, Peoples R China

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF, Canada

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

来源：

STUDIES IN APPLIED MATHEMATICS | 2023年 / 150卷 / 03期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

exponential stability; nonlocal dispersal; periodic coefficients; MONOTONE SEMIFLOWS; SPEED SELECTION; MINIMAL-SPEED; EXISTENCE; EQUATIONS; FRONTS; MODEL;

D O I：

10.1111/sapm.12557

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Global exponential stability of bistable traveling wave solutions to a periodic Lotka-Volterra system with nonlocal dispersal is investigated. We first establish refined squeezing upper and lower solutions based on the properties of the bistable wavefront. This important squeezing technique has been successfully applied to study the exponential convergence of solutions.

引用

页码：818 / 840

页数：23

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