Traveling plane wave solutions of delayed lattice differential systems in competitive Lotka-Volterra type
type: Item
instance of: scholarly article
title: Traveling plane wave solutions of delayed lattice differential systems in competitive Lotka-Volterra type
zbMATH Open document ID: 1208.34104
author: Cheng-Hsiung Hsu
author: Ting-Hui Yang
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2010-08-11T00:00:00Z
review text: The authors consider the existence of traveling plane wave solutions of systems of delayed lattice differential equations of competitive Lotka-Volterra type. They show that there exists a speed \(c^*\) such that, for any speed \(c>c^*\), the system admits a traveling wave solution connecting two different equilibria. The method used is to employ an iterative method coupled with the explicit construction of upper and lower solutions.
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34K31
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 5769097
zbMATH Keywords: traveling wave solution
zbMATH Keywords: delayed lattice differential equations
zbMATH Keywords: upper and lower solutions
zbMATH Keywords: heteroclinic solutions
MaRDI profile type: Publication
full work available at URL: dcdsb.2010.14.111
OpenAlex ID: W1981205863
DOI: 10.3934/DCDSB.2010.14.111
description: scientific article; zbMATH DE number 5769097