Dynamics of the nonlinear rational difference equation xn+1=Axn−αxn−β+Bxn−γCxn−αxn−β+Dxn−γ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt