Traveling wave solutions in a delayed lattice competition-cooperation system

被引：4

作者：

Li, Kun ^{[1
]}

Li, Xiong ^{[2
]}

机构：

[1] Hunan First Normal Univ, Sch Math & Computat Sci, Changsha, Hunan, Peoples R China

[2] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2018年 / 24卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Lattice differential equations; traveling wave solutions; cross iteration scheme; Schauder's fixed point theorem; upper and lower solutions; REACTION-DIFFUSION-SYSTEMS; DISCRETE NAGUMO EQUATION; DIFFERENTIAL-EQUATIONS; MONOSTABLE DYNAMICS; COUPLED SYSTEMS; FRONTS; PROPAGATION; UNIQUENESS; EXISTENCE; MONOTONICITY;

D O I：

10.1080/10236198.2017.1409222

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first reduce the existence of traveling wave solutions in a delayed lattice competition-cooperation system to the existence of a pair of upper and lower solutions by means of Schauder's fixed point theorem and the cross iteration scheme, and then we construct a pair of upper and lower solutions to obtain the existence and nonexistence of traveling wave solutions. We also consider the asymptotic behaviour of any nonnegative traveling wave solutions at negative infinity.

引用

页码：391 / 408

页数：18

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