Traveling waves of an SIR epidemic model with diffusion and delay

被引：0

作者：

Du, Yanke ^{[1
]}

Xu, Rui ^{[1
]}

机构：

[1] Shijiazhuang Mech Engn Coll, Inst Appl Math, Shijiazhuang 050003, Peoples R China

来源：

PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE OF MODELLING AND SIMULATION (ICMS2011), VOL 1 | 2011年

基金：

中国国家自然科学基金;

关键词：

Traveling wave solutions; Upper-lower solutions; Partial exponential quasi-monotonicity; TIME-DELAY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with an SIR epidemic model with spatial diffusion and time delay. By analyzing the corresponding characteristic equations, the local stability of each of uniform steady states to this system is discussed. By using a cross iteration scheme and Schauder's fixed point theorem and constructing a pair of upper-lower solutions, we derive the existence of a traveling wave solution connecting the disease-free steady state and the endemic steady state.

引用

页码：349 / 352

页数：4

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