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

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.

Keywords

• difference equation
• exponential form
• fixed points
• stability
• phase portraits