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On Stability Analysis of Higher-Order Rational Difference Equation

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Listed:
  • Abdul Khaliq
  • H. S. Alayachi
  • M. S. M. Noorani
  • A. Q. Khan

Abstract

In this paper, we study the equilibrium points, local asymptotic stability of equilibrium points, global behavior of equilibrium points, boundedness and periodicity of the rational recursive sequence , where for . With initial values are positive real numbers. Some numerical examples are given to verify our theoretical results.

Suggested Citation

  • Abdul Khaliq & H. S. Alayachi & M. S. M. Noorani & A. Q. Khan, 2020. "On Stability Analysis of Higher-Order Rational Difference Equation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-10, August.
    • Handle: RePEc:hin:jnddns:3094185
    DOI: 10.1155/2020/3094185
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