Existence of travelling wave fronts for a diffusive vector disease model with delay

被引：4
|
作者：
Peng, YH [1 ]
Song, YL
机构：
[1] Donghua Univ, Dept Appl Math, Shanghai 200051, Peoples R China
[2] Tongji Univ, Dept Appl Math, Shanghai 200092, Peoples R China
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2006年 / 12卷 / 01期
基金：
中国国家自然科学基金;
关键词：
vector disease model; delay; reaction-diffusion equation; travelling wave fronts;
D O I：
10.1007/s10450-006-9686-5
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the existence of monotone travelling front solutions is established for a diffusive vector disease model with a discrete delay. We show that if the delay is sufficiently small, then there exists a travelling wave fronts for the delayed diffusive model connecting the zero equilibrium with the positive equilibrium. The approach used in this paper is the upper-lower solution technique and monotone iteration method for delayed reaction-diffusion systems.
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页码：97 / 107
页数：11
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