Document Type

Article

Publication Date

1-1-2002

Keywords

Coexistence state, Lotka Voltera competition model

Abstract

In this paper, we concentrate on the uniqueness of the positive solution for the general elliptic system { Δu + u(g1(u) - g 2(v)) = 0 in R+ × Ω, Δν + v(h 1(u) - h2(v)) = 0 u|∂Ω = v| ∂Ω = 0. This system is the general model for the steady state of a competitive interacting system. The techniques used in this paper are upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties for the solution of logistic equations.

Journal Title

Journal of the Korean Mathematical Society

Volume

39

Issue

3

First Page

377

Last Page

385

DOI

https://doi.org/10.4134/JKMS.2002.39.3.377

First Department

Mathematics

Acknowledgements

Open access article retrieved March 26, 2021 from https://www.koreascience.or.kr/article/JAKO200211921115541.pdf

Included in

Mathematics Commons

Share

COinS