On the system of rational difference equations xn=A+1yn-p, yn=A+yn-1xn-ryn-s

In this paper, we study the behavior of the positive solutions of the system of two difference equationsxn=A+1yn-p,yn=A+yn-1xn-ryn-s,n=1,2,…,where p ⩾ 1, r ⩾ 1, s ⩾ 1, A ⩾ 0, and x1−r, x2−r, … , x0, y1−max{p,s}, y2−max{p,s}, … , y0 are positive real numbers.