Almost Periodic Solutions of Prey-Predator Discrete Models with Delay

• Main Authors: Itokazu Tomomi, Hamaya Yoshihiro
• Format: Article
• Language: English
• Published: SpringerOpen 2009-01-01
• Series: Advances in Difference Equations
• Online Access: http://www.advancesindifferenceequations.com/content/2009/976865

<p>Abstract</p> <p>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 <inline-formula> <graphic file="1687-1847-2009-976865-i1.gif"/></inline-formula><inline-formula> <graphic file="1687-1847-2009-976865-i2.gif"/></inline-formula><inline-formula> <graphic file="1687-1847-2009-976865-i3.gif"/></inline-formula><inline-formula> <graphic file="1687-1847-2009-976865-i4.gif"/></inline-formula> and a competitive system <inline-formula> <graphic file="1687-1847-2009-976865-i5.gif"/></inline-formula>, by using certain stability properties, which are referred to as <inline-formula> <graphic file="1687-1847-2009-976865-i6.gif"/></inline-formula>-weakly uniformly asymptotic stable in hull and <inline-formula> <graphic file="1687-1847-2009-976865-i7.gif"/></inline-formula>-totally stable.</p>