فهرست نشریات علمی دسترسی آزاد ایران

In this paper, we investigate the global behavior of positive solutions of the system of difference equations \begin{equation*} x_{n+1}=\alpha+ \dfrac{y^p_{n}}{y^p_{n-2}},\y_{n+1}=\alpha+ \dfrac{x^q_{n} }{x^q_{n-2}},\ n=0, 1, 2, ...\end{equation*}where parameters $\alpha, p, q \in (0, \infty)$ and the initial values $x_{i}$, $y_{i}$ are arbitrary positive numbers for $ i= -2,-1, 0$. Moreover, the rate of convergence of positive solutions is established and some numerical examples are given to demonstrate our theoretical results.