Traveling fronts of pyramidal shapes in competition-diffusion systems

Wei Ming Ni, Masaharu Taniguchi

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

It is well known that a competition-diffusion system has a one-dimensional traveling front. This paper studies traveling front solutions of pyramidal shapes in a competition-diffusion system in ℝN with N≥2. By using a multi-scale method, we construct a suitable pair of a supersolution and a subsolution, and find a pyramidal traveling front solution between them.

Original languageEnglish
Pages (from-to)379-395
Number of pages17
JournalNetworks and Heterogeneous Media
Volume8
Issue number1
DOIs
Publication statusPublished - May 14 2013
Externally publishedYes

Keywords

  • Competition-diffusion system
  • Pyramidal shapes
  • Traveling front

ASJC Scopus subject areas

  • Statistics and Probability
  • Engineering(all)
  • Computer Science Applications
  • Applied Mathematics

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