Advances in Difference Equations
Volume 2006 (2006), Article ID 51520, 8 pages

On the system of rational difference equations xn+1=f(ynq,xns),yn+1=g(xnt,ynp)

Taixiang Sun1 and Hongjian Xi2

1Department of Mathematics, College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, China
2Department of Mathematics, Guangxi College of Finance and Economics, Nanning, Guangxi 530003, China

Received 20 March 2006; Revised 19 May 2006; Accepted 28 May 2006

Copyright © 2006 Taixiang Sun and Hongjian Xi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We study the global behavior of positive solutions of the system of rational difference equations xn+1=f(ynq,xns),yn+1=g(xnt,ynp), n=0,1,2,, where p,q,s,t{0,1,2,} with st and pq, the initial values xs,xs+1,,x0,yp,yp+1,y0(0,+). We give sufficient conditions under which every positive solution of this system converges to the unique positive equilibrium.