Stationary patterns for a lotka-volterra cooperative model with a density-dependent diffusion term

Kazuhiro Oeda

Research output: Contribution to journalArticle

1 Citation (Scopus)


This paper is concerned with positive stationary solutions for a Lotka- Volterra cooperative model with a density-dependent diffusion term of a fractional type. The existence of stationary patterns is proven by the presence of density-dependent diffusion. Our proof is based on the Leray-Schauder degree theory and some a priori estimates. We also derive a certain limiting system which positive stationary solutions satisfy.

Original languageEnglish
Pages (from-to)93-112
Number of pages20
JournalFunkcialaj Ekvacioj
Issue number1
Publication statusPublished - 2009 Apr



  • Cooperative model
  • Density-dependent diffusion
  • Leray-schauder degree theory
  • Limiting system
  • Stationary patterns

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis
  • Geometry and Topology

Cite this