Existence of traveling wave solutions in m-dimensional delayed lattice dynamical systems with competitive quasimonotone and global interaction

被引：0

作者：

Zhou, Kai ^{[1
,2
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Chizhou Univ, Sch Math & Comp, Chizhou 247000, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 07期

关键词：

Traveling wave solutions; lattice differential systems; delay; upper and lower solutions; Schauder's fixed point theorem; DIFFERENTIAL-EQUATION; PHASE-TRANSITIONS; CONVOLUTION MODEL; ASYMPTOTIC SPEED; PROPAGATION; FRONTS;

D O I：

10.22436/jnsa.010.07.23

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence of traveling wave solutions for m-dimensional delayed lattice dynamical systems with competitive quasimonotone and global interaction. By using Schauder's fixed point theorem and a cross-iteration scheme, we reduce the existence of traveling wave solutions to the existence of a pair of upper and lower solutions. The general results obtained will be applied to m-dimensional delayed lattice dynamical systems with Lotka-Volterra type competitive reaction terms and global interaction. (C) 2017 All rights reserved.

引用

页码：3630 / 3642

页数：13

共 15 条

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[9] Traveling wave solutions for systems of ODEs on a two-dimensional spatial lattice
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