Stationary Patterns for a Lotka-Volterra Cooperative Model with a Density-Dependent Diffusion Term

• Oeda Kazuhiro

  Waseda University

抄録

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.

収録刊行物

• Funkcialaj Ekvacioj

  Funkcialaj Ekvacioj 52 (1), 93-112, 2009

  日本数学会函数方程式論分科会

キーワード

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

詳細情報

• CRID: 1390282680089901696
• NII論文ID: 130000140724
• DOI: 10.1619/fesi.52.93
• ISSN: 05328721
• Web Site: http://www.jstage.jst.go.jp/article/fesi/52/1/52_1_93/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可