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

被引:5
作者
Khaliq, Abdul [1 ]
Sadiq, Stephen [2 ]
Ahmed, Hala M. E. [3 ]
Mahmoud, Batul A. A. [3 ]
Al-Sinan, Bushra R. [4 ]
Ibrahim, Tarek Fawzi [5 ]
机构
[1] Riphah Int Univ, Dept Math, Lahore Campus, Lahore 54000, Pakistan
[2] Minhaj Univ, Dept Math, Lahore 54770, Pakistan
[3] King Khalid Univ, Fac Sci & Arts Sarat Abeda, Dept Math, Abha 62529, Saudi Arabia
[4] Univ Hafr Al Batin, Nairiyah Coll, Dept Adm & Financial Sci, Hafar al Batin 31991, Saudi Arabia
[5] King Khalid Univ, Fac Sci & Arts Mahayel, Dept Math, Abha 62529, Saudi Arabia
关键词
difference equation; exponential form; fixed points; stability; phase portraits; ASYMPTOTIC-BEHAVIOR; STABILITY;
D O I
10.3390/math11081808
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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, alpha, beta, gamma, delta, eta, and xi 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.
引用
收藏
页数:22
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