Taiwanese Journal of Mathematics

Global Stability of a Reaction-diffusion System of a Competitor-Competitor-Mutualist Model

Shihe Xu

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Abstract

In this paper, we study a reaction-diffusion system of a competitorcompetitor-mutualist model with Neumann boundary condition. Using iteration method, we investigate the global asymptotic stability of the unique positive constant steady-state solution under some assumptions. We also give some sufficient conditions under which there are no nonconstant positive steady-state solution exist.

Article information

Source
Taiwanese J. Math., Volume 15, Number 4 (2011), 1617-1627.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500406367

Digital Object Identifier
doi:10.11650/twjm/1500406367

Mathematical Reviews number (MathSciNet)
MR2848977

Zentralblatt MATH identifier
1233.35028

Subjects
Primary: 35K57: Reaction-diffusion equations 92D25: Population dynamics (general)

Keywords
competitor-competitor-mutualist model positive constant steady-state solution reaction-diffusion system global asymptotic stability

Citation

Xu, Shihe. Global Stability of a Reaction-diffusion System of a Competitor-Competitor-Mutualist Model. Taiwanese J. Math. 15 (2011), no. 4, 1617--1627. doi:10.11650/twjm/1500406367. https://projecteuclid.org/euclid.twjm/1500406367


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References

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