TRAVELING WAVES IN A NONLOCAL DISPERSAL EPIDEMIC MODEL WITH SPATIO-TEMPORAL DELAY

被引：9

作者：

Wei, Jingdong ^{[1
]}

Zhou, Jiangbo ^{[1
]}

Chen, Wenxia ^{[1
]}

Zhen, Zaili ^{[1
]}

Tian, Lixin ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2020年 / 19卷 / 05期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Minimal wave speed; epidemic model; nonlocal dispersal; spatiotemporal delay; SIR MODEL; EXISTENCE; SPEED; PROPAGATION; SYSTEMS; FRONTS; EQUATIONS; EVOLUTION;

D O I：

10.3934/cpaa.2020125

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence and nonexistence of traveling wave solutions in a nonlocal dispersal epidemic model with spatiotemporal delay. It is shown that this model admits a nontrivial positive traveling wave solution when the basic reproduction number R-0 > 1 and the wave speed c >= c* (c* is the critical speed) and this model has no traveling wave solutions when R-0 <= 1 or c < c*. This indicates that c* is the minimal wave speed.

引用

页码：2853 / 2886

页数：34

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