Advances in Difference Equations
Volume 2006 (2006), Article ID 51520, 8 pages
doi:10.1155/ADE/2006/51520

On the system of rational difference equations xn+1=f(yn−q,xn−s),yn+1=g(xn−t,yn−p)

Abstract

We study the global behavior of positive solutions of the system of rational difference equations xn+1=f(yn−q,xn−s),yn+1=g(xn−t,yn−p), n=0,1,2,…, where p,q,s,t∈{0,1,2,…} with s≥t and p≥q, the initial values x−s,x−s+1,…,x0,y−p,y−p+1,…y0∈(0,+∞). We give sufficient conditions under which every positive solution of this system converges to the unique positive equilibrium.