Positive solutions for Lotka-Volterra competition system with diffusion

Yoshio Yamada

doi:10.1016/S0362-546X(01)00686-1

Positive solutions for Lotka-Volterra competition system with diffusion

Yoshio Yamada^*

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

Positive stationary solutions of Lotka-Volterra competition system with diffusion were discussed. Sufficient conditions on the multiple existence of positive solutions were presented for two cases. The two cases were analyzed using the degree or local bifurcation theory and the theory of Dancer and Du.

Original language	English
Pages (from-to)	6085-6096
Number of pages	12
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	47
Issue number	9
DOIs	https://doi.org/10.1016/S0362-546X(01)00686-1
Publication status	Published - 2001 Aug

Keywords

Competition model
Diffusion system
Lotka-Volterra model
Multiple existence
Positive solution

ASJC Scopus subject areas

Analysis
Applied Mathematics
Mathematics(all)

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10.1016/S0362-546X(01)00686-1

Cite this

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title = "Positive solutions for Lotka-Volterra competition system with diffusion",

abstract = "Positive stationary solutions of Lotka-Volterra competition system with diffusion were discussed. Sufficient conditions on the multiple existence of positive solutions were presented for two cases. The two cases were analyzed using the degree or local bifurcation theory and the theory of Dancer and Du.",

keywords = "Competition model, Diffusion system, Lotka-Volterra model, Multiple existence, Positive solution",

author = "Yoshio Yamada",

year = "2001",

month = aug,

doi = "10.1016/S0362-546X(01)00686-1",

language = "English",

volume = "47",

pages = "6085--6096",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Limited",

number = "9",

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T1 - Positive solutions for Lotka-Volterra competition system with diffusion

AU - Yamada, Yoshio

PY - 2001/8

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N2 - Positive stationary solutions of Lotka-Volterra competition system with diffusion were discussed. Sufficient conditions on the multiple existence of positive solutions were presented for two cases. The two cases were analyzed using the degree or local bifurcation theory and the theory of Dancer and Du.

AB - Positive stationary solutions of Lotka-Volterra competition system with diffusion were discussed. Sufficient conditions on the multiple existence of positive solutions were presented for two cases. The two cases were analyzed using the degree or local bifurcation theory and the theory of Dancer and Du.

KW - Competition model

KW - Diffusion system

KW - Lotka-Volterra model

KW - Multiple existence

KW - Positive solution

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U2 - 10.1016/S0362-546X(01)00686-1

DO - 10.1016/S0362-546X(01)00686-1

M3 - Article

AN - SCOPUS:0035415431

SN - 0362-546X

VL - 47

SP - 6085

EP - 6096

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 9

ER -

Positive solutions for Lotka-Volterra competition system with diffusion

Abstract

Keywords

ASJC Scopus subject areas

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