Global stability of travelling waves for a class of monostable epidemic models

被引：5
|
作者：
Xu, Zhaoquan [1 ]
机构：
[1] Jinan Univ, Dept Math, Guangzhou 510632, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2021年 / 95卷
关键词：
Travelling wave solutions; Monostable reaction-diffusion systems; Stability; Uniqueness; REACTION-DIFFUSION EQUATION; EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; SPREADING SPEEDS; FRONTS; SYSTEM; UNIQUENESS; EXISTENCE;
D O I：
10.1016/j.cnsns.2020.105595
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the stability of travelling wave solutions for a monostable reaction-diffusion system which describes the spatial spread of a class of bacterial and viral in man-environment diseases. Mathematically we prove the global stability of traveling wave solutions with any admissible wave speed (including the critical wave speed) for the system, and compute numerically the critical wave speed and solutions of the cauchy problem with given initial functions close to the travelling waves at the wave tail for some reaction functions to show the global stability of traveling wave solutions with noncritical wave speed and critical wave speed, respectively. (C) 2020 Elsevier B.V. All rights reserved.
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页数：15
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