Existence of travelling waves in a diffusive vector disease model with distributed delay

被引：2

作者：

Huang, Guo-Can ^{[1
]}

Huo, Hai-Feng ^{[1
]}

机构：

[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou, Peoples R China

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2010年 / 16卷 / 01期

关键词：

Vector-disease; reaction-diffusion equation; travelling wave front; distributed delay; NICHOLSONS BLOWFLIES EQUATION; LIMITED POPULATION-MODEL; FRONTS; CONVERGENCE;

D O I：

10.1007/s10883-010-9083-y

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with a diffusive vector disease model with distributed delay. The existence of travelling wave front solutions connecting the zero equilibrium and the positive equilibrium is established by using an iterative technique and a nonstandard ordering for the set of profiles of the corresponding wave system recently developed by Wang, Li and Ruan (Travelling wave fronts in reactiondiffusion systems with spatio-temporal delays. J. Differential Equations 222 (2006), 185-232). The existence of travelling front solutions shows that there is a moving zone of transition from the disease free state to the infective state.

引用

页码：45 / 57

页数：13

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