In this paper, we study the behavior of positive solutions of the system of difference equations x(n) = A + y(n-1)/x(n-p)y(n-q), y(n) = A + xn-1/x(n-r)y(n-s), n = 1, 2, ..., where p ≥ 2, q ≥ 2, r ≥ 2, s ≥ 2, A is a positive constant, and x(1)-max{p,r}, x(2)-max{p,r},..., x(0), y(1)-max{q,s}, y(2)-max{q,s},..., y(0) are positive real numbers. © 2004 Elsevier Inc. All rights reserved.