Open Access

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

Advances in Difference Equations20062006:051520

https://doi.org/10.1155/ADE/2006/51520

Received: 20 March 2006

Accepted: 28 May 2006

Published: 18 September 2006

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 st and pq, 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.

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Authors’ Affiliations

(1)
Department of Mathematics, College of Mathematics and Information Science, Guangxi University
(2)
Department of Mathematics, Guangxi College of Finance and Economics

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Copyright

© T. Sun and H. Xi 2006

This article is published under license to BioMed Central Ltd. 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.