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Dynamic Characteristics of Four Systems of Difference Equations with Higher Order

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  • Abdul Qadeer Khan
  • Shahid Mahmood Qureshi
  • Imtiaz Ahmed

Abstract

In this paper, we explore the global dynamical characteristics, boundedness, and rate of convergence of certain higher‐order discrete systems of difference equations. More precisely, it is proved that for all involved respective parameters, discrete systems have a trivial fixed point. We have studied local and global dynamical characteristics at trivial fixed point and proved that trivial fixed point of the discrete systems is globally stable under respective definite parametric conditions. We have also studied boundedness and rate of convergence for under consideration discrete systems. Finally, theoretical results are confirmed numerically. Our findings in this paper are considerably extended and improve existing results in the literature.

Suggested Citation

  • Abdul Qadeer Khan & Shahid Mahmood Qureshi & Imtiaz Ahmed, 2021. "Dynamic Characteristics of Four Systems of Difference Equations with Higher Order," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:6760596
    DOI: 10.1155/2021/6760596
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    References listed on IDEAS

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    1. S. Kalabušić & M. R. S. Kulenović & E. Pilav, 2011. "Multiple Attractors for a Competitive System of Rational Difference Equations in the Plane," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-35, November.
    2. S. Kalabušić & M. R. S. Kulenović & E. Pilav, 2011. "Multiple Attractors for a Competitive System of Rational Difference Equations in the Plane," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
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