EXISTENCE OF TRAVELING WAVE SOLUTIONS FOR AN INFECTION-AGE STRUCTURED MODEL WITH POPULATION DIFFUSION

被引：0

作者：

Zhang, Tianran ^{[1
]}

Wang, Wendi ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年 / 17卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Spatial epidemic; critical speed; age structure; bounded; MATHEMATICAL-THEORY; SPREADING SPEED; EPIDEMIC MODEL; SIR MODEL;

D O I：

10.3934/dcdss.2023167

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies an epidemic model that incorporates the population diffusion and infection age. The threshold conditions for the existence of traveling wave solutions are established, which answer two open problems in Ducrot and Magal (Nonlinearity, 24 (2011), 2891-2911). More specifically, the restriction for the diffusion coefficients of susceptible population and infectious population is removed and the existence of traveling wave solution with critical wave speed is obtained.

引用

页码：1485 / 1496

页数：12

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