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

Kazuhiro Oeda

doi:10.1619/fesi.52.93

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

Kazuhiro Oeda^*

^*Corresponding author for this work

Global Education Center

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Pages (from-to)	93-112
Number of pages	20
Journal	Funkcialaj Ekvacioj
Volume	52
Issue number	1
DOIs	https://doi.org/10.1619/fesi.52.93
Publication status	Published - 2009 Apr

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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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.",

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AB - 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.

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KW - Leray-schauder degree theory

KW - Limiting system

KW - Stationary patterns

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

Abstract

Keywords

ASJC Scopus subject areas

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