On the behavior of positive solutions of the system of rational difference equations

In this paper, we investigate the positive solutions of the system of difference equations x n + 1 = x n − 1 y n x n − 1 + 1 , y n + 1 = y n − 1 x n y n − 1 + 1 , where y 0 , y − 1 , x 0 , x − 1 ∈ [ 0 , + ∞ ) .