Traveling fronts of pyramidal shapes in competition-diffusion systems

Wei Ming Ni, Masaharu Taniguchi

Research output: Contribution to journalArticlepeer-review

39 Scopus citations


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
Issue number1
StatePublished - 2013


  • Competition-diffusion system
  • Pyramidal shapes
  • Traveling front


Dive into the research topics of 'Traveling fronts of pyramidal shapes in competition-diffusion systems'. Together they form a unique fingerprint.

Cite this