Traveling fronts of pyramidal shapes in competition-diffusion systems

Wei Ming Ni, Masaharu Taniguchi

Research output: Contribution to journalArticle

24 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 - 2013
Externally publishedYes

Fingerprint

Travelling Fronts
Supersolution
Subsolution
Multiscale Methods

Keywords

  • Competition-diffusion system
  • Pyramidal shapes
  • Traveling front

ASJC Scopus subject areas

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

Cite this

Traveling fronts of pyramidal shapes in competition-diffusion systems. / Ni, Wei Ming; Taniguchi, Masaharu.

In: Networks and Heterogeneous Media, Vol. 8, No. 1, 2013, p. 379-395.

Research output: Contribution to journalArticle

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