On the behavior of solutions of the system of rational 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 , z n + 1 = 1 y n z n

In this article, we investigate the 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 , z n + 1 = 1 y n z n where x0, x-1, y0, y-1, z0, z-1 real numbers such that y0x-1 ≠ 1, x0y-1 ≠ 1 and y0z0 ≠ 0.