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

Oeda Kazuhiro

doi:10.1619/fesi.52.93

説明

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

詳細情報詳細情報について

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

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