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

Kazuhiro Oeda

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Abstract

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
Volume52
Issue number1
DOIs
Publication statusPublished - 2009 Apr

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Keywords

  • 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

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