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Global Asymptotic Stability of a Rational System

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  • Lin-Xia Hu
  • Xiu-Mei Jia

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

Suggested Citation

  • Lin-Xia Hu & Xiu-Mei Jia, 2014. "Global Asymptotic Stability of a Rational System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:286375
    DOI: 10.1155/2014/286375
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    References listed on IDEAS

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    1. Stevo Stević & Josef Diblík & Bratislav Iričanin & Zdeněk Šmarda, 2012. "On Some Solvable Difference Equations and Systems of Difference Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Stevo Stević & Josef Diblík & Bratislav Iričanin & Zdeněk Šmarda, 2012. "On Some Solvable Difference Equations and Systems of Difference Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, October.
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