Entire solutions for a two-component competition system in a lattice

Jong Shenq Guo, Chang-Hong Wu

Research output: Contribution to journalArticle

29 Scopus citations

Abstract

We study entire solutions of a two-component competition system with Lotka-Volterra type nonlinearity in a lattice. It is known that this system has traveling wave front solutions and enjoys comparison principle. Based on these solutions, we construct some new entire solutions which behave as two traveling wave fronts moving towards each other from both sides of x-axis.

Original languageEnglish
Pages (from-to)17-28
Number of pages12
JournalTohoku Mathematical Journal
Volume62
Issue number1
DOIs
StatePublished - 1 Jan 2010

Keywords

  • Entire solution
  • Lattice dynamical system
  • Traveling wave front
  • Wave speed

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