On the global asymptotic stability of a system of difference equations with quadratic terms

In this paper, we study the global asymptotic stability of following system of difference equations with quadratic terms: xn+1=A+Bynyn-12\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x_{n+1}=A+B\frac{y_{n}}{y_{n-1}^{2}}$$\end{document}, yn+1=A+Bxnxn-12\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$y_{n+1}=A+B\frac{x_{n}}{x_{n-1}^{2}}$$\end{document} where A and B are positive numbers and the initial values are positive numbers. We also investigate the rate of convergence and oscillation behaviour of the solutions of related system.