On positive solutions for the rational difference equation systems \(x_{n + 1} = A / x_n y_n^2\), and \(y_{n + 1} = B y_n / x_{n - 1} y_{n - 1}\) (Q1727815)

Summary: Our aim in this paper is to investigate the behavior of positive solutions for the following systems of rational difference equations: \(x_{n + 1} = A / x_n y_n^2\), and \(y_{n + 1} = B y_n / x_{n - 1} y_{n - 1}\), \(n = 0,1, \ldots\), where \(x_{- 1}\), \(x_0\), \(y_{- 1}\), and \(y_0\) are positive real numbers and \(A\) and \(B\) are positive constants.