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

被引：12
|
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.
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页码：951 / 980
页数：30
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