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

Abdul Khaliq, Stephen Sadiq, Hala M. E. Ahmed, Batul A. A. Mahmoud, Bushra R. Al-Sinan and Tarek Fawzi Ibrahim ()
Additional contact information
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

Mathematics, 2023, vol. 11, issue 8, 1-22

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.

Keywords: difference equation; exponential form; fixed points; stability; phase portraits (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/8/1808/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/8/1808/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:8:p:1808-:d:1120514

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().