TRAVELING WAVEFRONTS OF A DELAYED LATTICE REACTION-DIFFUSION MODEL

被引：0
|
作者：
Shu, Li [1 ]
Weng, Peixuan [1 ]
Tian, Yanling [1 ]
机构：
[1] S China Normal Univ, Sch Math, Guangzhou 510631, Guangdong, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2015年 / 5卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Pioneer-climax model; lattice differential system; harmless delay; traveling wave solution; minimal wave speed; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC SPEED; PIONEER; PROPAGATION; SYSTEMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate a system of delayed lattice differential system which is a model of pioneer-climax species distributed on one dimensional discrete space. We show that there exists a constant c(double dagger) > 0, such that the model has traveling wave solutions connecting a boundary equilibrium to a co-existence equilibrium for c > c*. We also argue that c* is the minimal wave speed and the delay is harmless. The Schauder's fixed point theorem combining with upper-lower solution technique is used for showing the existence of wave solution.
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页码：64 / 76
页数：13
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