Traveling waves for a diffusive SEIR epidemic model with standard incidences

被引：0
作者：
BaoChuan Tian
Rong Yuan
机构：
[1] Beijing Normal University,School of Mathematical Sciences
来源：
Science China Mathematics | 2017年 / 60卷
关键词：
traveling waves; SEIR model; Schauder fixed point theorem; 35K57; 92D30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is devoted to the existence of the traveling waves of the equations describing a diffusive susceptible-exposed-infected-recovered (SEIR) model. The existence of traveling waves depends on the basic reproduction rate and the minimal wave speed. We obtain a more precise estimation of the minimal wave speed of the epidemic model, which is of great practical value in the control of serious epidemics. The approach in this paper is to use the Schauder fixed point theorem and the Laplace transform. We also give some numerical results on the minimal wave speed.
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页码：813 / 832
页数：19
相关论文
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