Traveling waves in a nonlocal dispersal SIRH model with relapse

被引：25
|
作者：
Zhu, Cheng-Cheng [1 ]
Li, Wan-Tong [1 ]
Yang, Fei-Ying [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 73卷 / 08期
关键词：
Nonlocal dispersal; Relapse; Traveling wave solutions; Basic reproduction number; Schauder's fixed-point theorem; REACTION-DIFFUSION SYSTEMS; MCKENDRICK EPIDEMIC MODEL; DELAYED TRANSMISSION; ASYMPTOTIC SPEEDS; CROSS-DIFFUSION; EQUATIONS; SPREAD; STABILITY; DISEASE; NONLINEARITY;
D O I：
10.1016/j.camwa.2017.02.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with traveling wave solutions of a nonlocal dispersal Susceptible -Infective-Removal-Healing (for short SIRH) model with relapse. It is found that the existence and nonexistence of traveling waves of the system are not only determined by the critical wave speed c*, but also by the basic reproduction number Ro of the corresponding system of ordinary differential equations. More precisely, we use Schauder's fixed-point theorem to obtain the existence of traveling waves for R-0 > 1 and c > c*, and the nonexistence of traveling waves for R-0 > 1 and 0 < c < c*. Some numerical simulations and discussions are also provided to illustrate our analytical results. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1707 / 1723
页数：17
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