Minimal wave speed in a diffusive epidemic model with temporal delay

被引：3
|
作者：
Zhang, Guosheng
Wang, Yifu [1 ]
机构：
[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
[2] Shijiazhuang Coll, Dept Math, Shijiazhuang 050801, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 188卷 / 01期
基金：
中国国家自然科学基金;
关键词：
diffusive epidemic model; time delay; travelling waves; upper and lower solutions; minimal wave speed;
D O I：
10.1016/j.amc.2006.09.112
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Taking incubation period into account, we modify Capasso et al.'s epidemic model and consider a reaction-diffusion system with time delay. By the method of upper and lower solutions to a related second-order ordinary differential equation with infinite time delay, we establish the existence of the minimal wave speed for the modified epidemic model, and show that incubation period reduces the minimal wave speed of epidemic model indeed. (C) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：275 / 280
页数：6
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