On the behavior of positive solutions of the system of rational difference equations xn+1=xn−1ynxn−1+1,yn+1=yn−1xnyn−1+1

In this paper, we investigate the positive solutions of the system of difference equations xn+1=xn−1ynxn−1+1,yn+1=yn−1xnyn−1+1, where y0,y−1,x0,x−1∈[0,+∞).