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
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).