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：
中国博士后科学基金; 中国国家自然科学基金;
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
收藏
页码：2853 / 2886
页数：34
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