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

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).