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

Jong Shenq Guo, Chang-Hong Wu

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


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
Issue number1
StatePublished - 2010


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


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