Traveling fronts of pyramidal shapes in competition-diffusion systems

Wei Ming Ni, Masaharu Taniguchi

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

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 (US)
Pages (from-to)379-395
Number of pages17
JournalNetworks and Heterogeneous Media
Volume8
Issue number1
DOIs
StatePublished - 2013

Keywords

  • Competition-diffusion system
  • Pyramidal shapes
  • Traveling front

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