Bistable traveling waves in impulsive reaction-advection-diffusion models

被引：7

作者：

Wang, Zhenkun ^{[1
,2
]}

Wang, Hao ^{[3
]}

机构：

[1] Harbin Engn Univ, Coll Automat, Harbin 150001, Heilongjiang, Peoples R China

[2] Harbin Engn Univ, Coll Math Sci, Harbin 150001, Heilongjiang, Peoples R China

[3] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 285卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Impulsive reaction-advection-diffusion models; Traveling waves; Bistable; Global stability; GLOBAL ASYMPTOTIC STABILITY; NON-LINEAR DIFFUSION; LONG-TIME BEHAVIOR; SPREADING SPEEDS; POPULATION-GENETICS; MONOTONE SEMIFLOWS; INTEGRAL OPERATOR; EQUATIONS; GROWTH; RECURSIONS;

D O I：

10.1016/j.jde.2021.03.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study an impulsive reaction-advection-diffusion model given by a reaction-advection-diffusion equation with the Allee effect in high-dimensional space composed with a discrete-time map. We establish the existence, uniqueness up to translation, and global stability of bistable traveling waves for impulsive reaction-advection-diffusion models. The methods involve the monotone semiflow approach, the upper and lower solutions, and spreading speeds of monostable systems. Numerical simulations verify the correctness of our conclusions. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：17 / 39

页数：23

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