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The Dynamical Behavior of a Three-Dimensional System of Exponential Difference Equations

Author

Listed:
  • Abdul Khaliq

    (Department of Mathematics, Lahore Campus, Riphah International University, Lahore 54000, Pakistan)

  • Stephen Sadiq

    (Department of Mathematics, Minhaj University, Lahore 54770, Pakistan)

  • Hala M. E. Ahmed

    (Department of Mathematics, Faculty of Sciences and Arts in Sarat Abeda, King Khalid University, Abha 62529, Saudi Arabia)

  • Batul A. A. Mahmoud

    (Department of Mathematics, Faculty of Sciences and Arts in Sarat Abeda, King Khalid University, Abha 62529, Saudi Arabia)

  • Bushra R. Al-Sinan

    (Department of Administrative and Financial Sciences, Nairiyah College, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia)

  • Tarek Fawzi Ibrahim

    (Department of Mathematics, Faculty of Sciences and Arts (Mahayel), King Khalid University, Abha 62529, Saudi Arabia)

Abstract

The boundedness nature and persistence, global and local behavior, and rate of convergence of positive solutions of a second-order system of exponential difference equations, is investigated in this work. Where the parameters A , B , C , α , β , γ , δ , η , and ξ are constants that are positive, and the initials U − 1 , U 0 , V − 1 , V 0 , W − 1 , and W 0 are non-negative real numbers. Some examples are provided to support our theoretical results.

Suggested Citation

  • Abdul Khaliq & Stephen Sadiq & Hala M. E. Ahmed & Batul A. A. Mahmoud & Bushra R. Al-Sinan & Tarek Fawzi Ibrahim, 2023. "The Dynamical Behavior of a Three-Dimensional System of Exponential Difference Equations," Mathematics, MDPI, vol. 11(8), pages 1-22, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1808-:d:1120514
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