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Dynamics of a Higher-Order Three-Dimensional Nonlinear System of Difference Equations

Author

Listed:
  • Murad Khan Hassani

    (Department of Mathematics, Nevşehir Hacı Bektaş Veli University, Nevşehir 50300, Turkey)

  • Yasin Yazlik

    (Department of Mathematics, Nevşehir Hacı Bektaş Veli University, Nevşehir 50300, Turkey)

  • Nouressadat Touafek

    (LMAM Laboratory, Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel 18000, Algeria)

  • Mohammed Salah Abdelouahab

    (Laboratory of Mathematics and Their Interactions, Abdelhafid Boussouf University Center of Mila, Mila 43000, Algeria)

  • Mouataz Billah Mesmouli

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia)

  • Fatma E. Mansour

    (Department of Physics, College of Science and Arts in Methneb, Qassim University, Methneb 51931, Saudi Arabia)

Abstract

In this paper, we study the semi-cycle analysis of positive solutions and the asymptotic behavior of positive solutions of three-dimensional system of difference equations with a higher order under certain parametric conditions. Furthermore, we show the boundedness and persistence, the rate of convergence of the solutions and the global asymptotic stability of the unique equilibrium point of the proposed system under certain parametric conditions. Finally, for this system, we offer some numerical examples which support our analytical results.

Suggested Citation

  • Murad Khan Hassani & Yasin Yazlik & Nouressadat Touafek & Mohammed Salah Abdelouahab & Mouataz Billah Mesmouli & Fatma E. Mansour, 2023. "Dynamics of a Higher-Order Three-Dimensional Nonlinear System of Difference Equations," Mathematics, MDPI, vol. 12(1), pages 1-17, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2023:i:1:p:16-:d:1304330
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    References listed on IDEAS

    as
    1. Abdul Qadeer Khan & Leonid Shaikhet, 2022. "Global Dynamics of a Nonsymmetric System of Difference Equations," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-14, December.
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