Existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed

被引：2
作者：
Feng, Shiqiang [1 ,2 ]
Gao, Dapeng [1 ,2 ]
机构：
[1] China West Normal Univ, Sch Math & Informat, Nanchong 637009, Sichuan, Peoples R China
[2] Internet Things Percept & Big Data Anal Key Lab N, Nanchong 637009, Sichuan, Peoples R China
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2021年 / 18卷 / 06期
基金：
中国国家自然科学基金;
关键词：
delayed SIR model; nonlocal dispersal; nonlinear incidence; minimal wave speed; traveling waves; EQUATIONS;
D O I：
10.3934/mbe.2021460
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper is about the existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed. Because of the introduction of nonlocal dispersal and the generality of incidence function, it is difficult to investigate the existence of critical traveling waves. To this end, we construct an auxiliary system and show the existence of traveling waves for the auxiliary system. Employing the results for the auxiliary system, we obtain the existence of traveling waves for the delayed nonlocal dispersal SIR epidemic model with the critical wave speed under mild conditions.
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页码：9357 / 9380
页数：24
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