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Research Article Open access CC BY 4.0

On the System of Three Order Rational Difference Equation

Guozhuan Hu

Current Journal of Applied Science and Technology · pp. 1–7 · Published 31 Aug 2016

10.9734/BJAST/2016/27524

Abstract

This paper is concerned with the local and global asymptotic behavior of positive solution for a system of three order rational difference equations   where α; β ∈ (0;∞); and the initial values x-1; x0 ∈ (0;∞); y-1; y0 ∈ (0;∞): Finally, some numerical examples are provided to illustrate theoretical results obtained.

Difference equations equilibrium point rate of convergence global asymptotic behavior

References (17)

  1. 1 Global Behavior of Nonlinear Difference Equations of Higher Order with Applications [DOI]
  2. 2 On a System of Two Nonlinear Difference Equations [DOI]
  3. 3 On the positive solutions of the difference equation system , [DOI]
  4. 4 On the solutions of systems of rational difference equations [DOI]
  5. 5 Dynamics of a system of rational third-order difference equation [DOI]
  6. 6 On the periodicity of some systems of nonlinear difference equations
  7. 7 Dynamics of a two-dimensional system of rational difference equations of Leslie--Gower type [DOI]
  8. 8 On the system of high order rational difference equations [DOI]
  9. 9 Stability Analysis of a System of Exponential Difference Equations [DOI]
  10. 10 On the positive solutions of the system of rational difference equations xn+1=1/yn−k , yn+1=yn/xn−myn−m−k [DOI]
  11. 11 On the global attractivity of two nonlinear difference equations [DOI]
  12. 12 More on Three‐Dimensional Systems of Rational Difference Equations [DOI]
  13. 13 Dynamical Behavior of a System of Third-Order Rational Difference Equation [DOI]
  14. 14 On a System of Two High-Order Nonlinear Difference Equations [DOI]
  15. 15 On the Behavior of Solutions of the System of Rational Difference Equations xn+1=xn-1/ynxn-1-1, yn+1=yn-1/xnyn-1-1, zn+1=xn/ynzn-1 [DOI]
  16. 16 TWO-DIMENSIONAL FRACTIONAL SYSTEM OF NONLINEAR DIFFERENCE EQUATIONS IN THE MODELING COMPETITIVE POPULATIONS
  17. 17 Discrete Dynamical Systems and Difference Equations with Mathematica [DOI]

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