Traveling wave solutions in temporally discrete reaction-diffusion systems with delays

被引：11
|
作者：
Xia, Jing [2 ]
Yu, Zhixian [1 ]
机构：
[1] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2011年 / 91卷 / 10期
关键词：
Traveling wave solutions; reaction-diffusion systems; Schauder's fixed point theorem; upper solution; lower solution; weak quasimonotonity; LINEAR INTEGRAL OPERATOR; POPULATION-GENETICS; FRONTS; EXISTENCE; DYNAMICS; MODEL; EQUATIONS;
D O I：
10.1002/zamm.201000157
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An idea used by W. Li et al. (Nonlinearity 19, 1253-73, 2006) is extended to show existence of traveling wave solutions for a class of temporally discrete reaction-diffusion systems with delays. The result is an generalization of an existing result for scalar equations to systems. As examples, the obtained abstract results will be applied to temporally discrete diffusion-competition systems with delay. Our results suggest temporally discrete diffusion-competition systems are dynamically consistent with the differential diffusion-competition systems. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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页码：809 / 823
页数：15
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