Asymptotic speed of spread and traveling fronts for a nonlocal reaction-diffusion model with distributed delay

被引：23
|
作者：
Wu, Shi-Liang [1 ]
Liu, San-Yang [1 ]
机构：
[1] Xidian Univ, Dept Appl Math, Xian 710071, Shaanxi, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2009年 / 33卷 / 06期
关键词：
Asymptotic speed of spread; Traveling fronts; Nonlocal reaction-diffusion model; Distributed delay; VECTOR-DISEASE-MODEL; INTEGRAL-EQUATIONS; WAVES; EPIDEMIC; POPULATIONS; SYSTEMS;
D O I：
10.1016/j.apm.2008.08.012
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a nonlocal reaction-diffusion model with distributed delay is studied. The asymptotic speed of spread is established for this model, and its coincidence with the minimal wave speed for traveling wave fronts is proved. Moreover, the dependence of the asymptotic speed of spread on delay and the nonlocal effect is considered. Our main finding here is that the delay can induce slow asymptotic speed of spread while the nonlocal effect can increase fast asymptotic speed of spread. (C) 2008 Elsevier Inc. All rights reserved.
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页码：2757 / 2765
页数：9
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