Travelling wave fronts in a vector disease model with delay

被引：8
|
作者：
Lin, Guojian [1 ,2 ]
Hong, Yiguang [2 ]
机构：
[1] Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China
[2] Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2008年 / 32卷 / 12期
关键词：
vector disease model; travelling wave front; monotone iteration technique; upper and lower solution;
D O I：
10.1016/j.apm.2007.10.002
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we study the diffusive vector disease model with delay. This problem with strong biological background has attracted much research attention. We focus on the existence of traveling wave fronts, and find that there is a moving zone for the transition from the disease-free state to the infective state. To complete the theoretical analysis, we employ the mathematical tools including the monotone iteration technique as well as the upper and lower solution method. (C) 2007 Elsevier Inc. All rights reserved.
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页码：2831 / 2838
页数：8
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