Dynamics and Expressions of Solutions of Fourth-Order Rational Systems of Difference Equations

The purpose of this article is to determine the expressions of solutions for the following rational difference systemsΦn+1 = Φn−2Ψn / α + Φn−2 + Ψn−3, Ψn+1 = ΦnΨn−2 / β ± Φn−3 ± Ψn−2, n = 0, 1, 2, ...,where α and β are arbitrary real numbers. Furthermore, the solution’s qualitative behavior is explored, such as local and global stability, as well as the boundedness of the solutions. We will offer numerical examples to demonstrate our results.