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

页码：1707 / 1723

页数：17

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