Open Access
2014 Global Asymptotic Stability of a Rational System
Lin-Xia Hu, Xiu-Mei Jia
Abstr. Appl. Anal. 2014: 1-6 (2014). DOI: 10.1155/2014/286375


The main goal of this paper is to investigate the global asymptotic behavior of the difference equation xn+1=β1xn/A1+yn, yn+1=β2xn+γ2yn/xn+yn, n=0,1,2, with β1,β2,γ2,A1(0,) and the initial value (x0,y0)[0,)×[0,) such that x0+y00. The major conclusion shows that, in the case where γ2<β2, if the unique positive equilibrium (x-,y-) exists, then it is globally asymptotically stable.


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Lin-Xia Hu. Xiu-Mei Jia. "Global Asymptotic Stability of a Rational System." Abstr. Appl. Anal. 2014 1 - 6, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022094
MathSciNet: MR3248851
Digital Object Identifier: 10.1155/2014/286375

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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