Traveling Wave Solutions of a Diffusive SEIR Epidemic Model with Nonlinear Incidence Rate

被引：13

作者：

Zhao, Lin ^{[1
]}

Zhang, Liang ^{[2
]}

Huo, Haifeng ^{[1
]}

机构：

[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2019年 / 23卷 / 04期

基金：

中国国家自然科学基金;

关键词：

SEIR epidemic model; nonlinear incidence rate; the basic reproduction number; the minimal speed; traveling wave solutions; COMPARTMENTAL-MODELS; GLOBAL STABILITY; DYNAMICS; BEHAVIOR; SIR;

D O I：

10.11650/tjm/181009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the existence and nonexistence of traveling wave solutions of a diffusive SEIR epidemic model with nonlinear incidence rate, which are determined by the basic reproduction number R-0 and the minimal wave speed c*. Namely, the system admits a nontrivial traveling wave solution if R-0 > 1 and c >= c* and then the non-existence of traveling wave solutions of the system is established if R-0 > 1 and 0 < c < c*. Especially, using numerical simulation, we give the basic framework of traveling wave solutions of the system.

引用

页码：951 / 980

页数：30

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