Advances in Difference Equations
Volume 2005 (2005), Issue 3, Pages 369-380
doi:10.1155/ADE.2005.369

Positive periodic solutions of functional discrete systems and population models

Youssef N. Raffoul1 and Christopher C. Tisdell2

1Department of Mathematics, University of Dayton, Dayton 45469-2316, OH, USA
2School of Mathematics, The University of New South Wales, Sydney 2052, NSW, Australia

Received 29 March 2004; Revised 23 August 2004

Copyright © 2005 Hindawi Publishing Corporation. 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.

Abstract

We apply a cone-theoretic fixed point theorem to study the existence of positive periodic solutions of the nonlinear system of functional difference equations x(n+1)=A(n)x(n)+f(n,xn).