On the dynamics of a rational difference equation xn+1=α+βxn+γxn−kBxn+Cxn−k

M. Saleh, N. Alkoumi and Aseel Farhat

Chaos, Solitons & Fractals, 2017, vol. 96, issue C, 76-84

Abstract: In this paper, we will investigate the dynamics of a nonlinear rational difference equation of a higher order. Our concentration is on invariant intervals, periodic character, the character of semi-cycles and global asymptotic stability of all positive solutions of xn+1=α+βxn+γxn−kBxn+Cxn−k,n=0,1,…

Keywords: Difference equation; Global asymptotic stability; Equilibrium point; Semi-cycles (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:96:y:2017:i:c:p:76-84

DOI: 10.1016/j.chaos.2016.12.026

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