Global Asymptotic Stability of a Rational System

Lin-Xia Hu and Xiu-Mei Jia

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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

Date: 2014
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https://doi.org/10.1155/2014/286375

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:286375

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