Advances in Difference Equations
Volume 2009 (2009), Article ID 976865, 19 pages
Research Article

Almost Periodic Solutions of Prey-Predator Discrete Models with Delay

Department of Information Science, Okayama University of Science, 1-1 Ridai-cho, Okayama 700-0005, Japan

Received 10 February 2009; Revised 18 May 2009; Accepted 9 July 2009

Academic Editor: Elena Braverman

Copyright © 2009 Tomomi Itokazu and Yoshihiro Hamaya. 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.


The purpose of this article is to investigate the existence of almost periodic solutions of a system of almost periodic Lotka-Volterra difference equations which are a prey-predator system x1(n+1)=x1(n)exp{b1(n)a1(n)x1(n)c2(n)s=nK2(ns)x2(s)},x2(n+1)=x2(n)exp{b2(n)a2(n)x2(n)+c1(n)s=nK1(ns)x1(s)} and a competitive system xi(n+1)=xi(n)exp{bi(n)aiixi(n)j=1,jils=nKij(ns)xj(s)}, by using certain stability properties, which are referred to as (K,ρ)-weakly uniformly asymptotic stable in hull and (K,ρ)-totally stable.