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.

引用

页码：64 / 76

页数：13

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