On the system of rational difference equations xn = a/yn−3, yn = byn−3/xn−qyn−q

In this paper we investigate the behaviour of the positive solutions of the system of rational difference equationxn=a/yn-3,yn=byn-3/xn-qyn-q,n=1,2,…,where q > 3 is a positive integer with 3 ∤ q, a and b are positive constants and the initial values x−q+1, x−q+2, … , x0, y−q+1, y−q+2, … , y0 are positive real numbers.