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
Recommended Citation
Hyuk Kang, Joon and Oh, Yun, "A Sufficient Condition for the Uniqueness of Positive Steady State to a Reaction Diffusion System" (2002). Faculty Publications. 2144.
https://digitalcommons.andrews.edu/pubs/2144
Acknowledgements
Open access article retrieved March 26, 2021 from https://www.koreascience.or.kr/article/JAKO200211921115541.pdf