global asymptotic stability of a rational system
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ID: 179114
2014
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Abstract
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+y0≠0. 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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| Reference Key |
hu2014abstractglobal
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|---|---|
| Authors | ;Lin-Xia Hu;Xiu-Mei Jia |
| Journal | science and technology of advanced materials |
| Year | 2014 |
| DOI |
10.1155/2014/286375
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| URL | |
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