Spreading speeds and travelling waves for non-monotone time-delayed lattice equations

被引：57
|
作者：
Fang, Jian [1 ,2 ]
Wei, Junjie [1 ]
Zhao, Xiao-Qiang [2 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2010年 / 466卷 / 2119期
基金：
加拿大自然科学与工程研究理事会;
关键词：
non-local lattice equation; time delay; spreading speed; travelling wave; minimal wave speed; REACTION-DIFFUSION EQUATIONS; ASYMPTOTIC SPEED; DIFFERENTIAL-EQUATION; SYSTEMS; FRONTS; PROPAGATION; EXISTENCE; MODELS;
D O I：
10.1098/rspa.2009.0577
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A non-monotone time-delayed lattice system with global interaction is considered. The spreading speed, including the upward convergence, is established by comparison arguments and a fluctuation method. The existence of travelling waves is obtained by Schauder's fixed-point theorem and a limiting process. It turns out that the minimal wave speed of travelling waves coincides with the spreading speed.
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页码：1919 / 1934
页数：16
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