期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 435, 期 1, 页码 20-37出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2015.09.069
关键词
SIR model; Traveling wave; Time delay; Upper/lower solution; Schauder fixed point theorem
资金
- National Science Council of the Republic of China [NSC104-2115-M-004-002]
In this paper, we study traveling waves connecting the infection-free equilibrium state and the endemic equilibrium state for a diffusive SIR model with delay and saturated incidence rate. Since this system does not enjoy the comparison principle, we will use an iteration process to construct a pair of upper and lower solutions. With the aid of the pair of upper and lower solutions, we can apply the Schauder fixed point theorem to construct a family of solutions of the truncated problems, which, via the limiting argument, can generate the traveling wave. Indeed, we show that there exists c* > 0 such that this system admits a traveling wave solution with speed c if c >= c*. (C) 2015 Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据