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

Author:

Khaliq Abdul1ORCID,Sadiq Stephen2ORCID,Ahmed Hala M. E.3,Mahmoud Batul A. A.3,Al-Sinan Bushra R.4,Ibrahim Tarek Fawzi5ORCID

Affiliation:

1. Department of Mathematics, Lahore Campus, Riphah International University, Lahore 54000, Pakistan

2. Department of Mathematics, Minhaj University, Lahore 54770, Pakistan

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

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

5. 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 ξare constants that are positive, and the initials U−1,U0,V−1,V0,W−1, and W0 are non-negative real numbers. Some examples are provided to support our theoretical results.

Funder

King Khalid University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference28 articles.

1. On the difference equation, Um+1 = α + βUm−1e−Um;Grove;Nonlinear Anal.,2001

2. On a system of two difference equations of exponential form: Um+1 = a + bUm−1e−Vm, Vm+1 = c + dVm−1e−Um;Papaschinopoluos;Math. Comput. Model.,2011

3. On the dynamics of two exponential type systems of difference equations;Papaschinopoulos;Comp. Math. Appl.,2012

4. Study of the asymptotic behavior of the solutions of three systems of difference equations of exponential form;Papaschinopoulos;Appl. Math. Comp.,2012

5. Study of asymptotic behavior of solutions of neutral mixed type difference equations;Gouasmia;Open Jr. Math. Anal.,2020

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1. Dynamical Analysis of Thirtieth-Order Difference Equations;International Journal of Analysis and Applications;2024-03-18

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