Almost Periodic Solutions of Prey-Predator Discrete Models with Delay

作者：Itokazu Tomomi; Hamaya Yoshihiro^*

来源：Advances in Difference Equations, 2009, 2009(1): 976865.

DOI：10.1155/2009/976865

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 x(1)(n 1) = x(1)(n) exp{b(1)(n)-a(1)(n)x(1)(n)-c(2)(n) Sigma(n)(s=-infinity) K(2)(n-s)x(2)(s)}, x(2)(n 1) = x(2)(n) exp{-b(2)(n)-a(2)(n)x(2)(n) c(1)(n) Sigma(n)(s=-infinity) K(1)(n-s)x(1)(s)} and a competitive system x(i)(n 1) = x(i)(n) exp{b(i)(n)-a(ii)x(i)(n)-Sigma(l)(j=1)(, j not equal i) Sigma(n)(s=-infinity) K(ij)(n-s)x(j)(s)}, by using certain stability properties, which are referred to as (K, rho)-weakly uniformly asymptotic stable in hull and (K, rho)-totally stable.

• 出版日期2009