On Dynamics and Solutions Expressions of Higher-Order Rational Difference Equations

Abstract

The principle goal of this paper is to look at some of the qualitative behavior of the critical point of the rational difference equation Ψ_{n+1}=αΨ_{n-2}+((βΨ_{n-2}Ψ_{n-3})/(γΨ_{n-3}+δΨ_{n-6})), n=0,1,2,..., where α,β,γ and δ are arbitrary positive real numbers. We also used the proposed equation to get the general solution for particular cases and provided numerical examples to demonstrate our results.

Keywords

• Solutions expressions of difference equation
• local and global stability
• boundedness.

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