Author's Name: |
Hui Zhang, Feng Feng, Jing Wang, Chunmei Chen & Ningli Yu |
Subject Area: |
Science and Engineering |
Subject |
Mathematics |
Section |
Research Paper |
Keyword:
Almost periodic solution; Lotka-Volterra mutualism system; Discrete; Permanence; Uniform asymptotical stability
Abstract
In this paper, we consider an almost periodic multispecies discrete Lotka-Volterra mutualism system. We first obtain the permanence of the system by utilizing the theory of difference equation. By means of constructing a suitable Lyapunov function, sufficient conditions are obtained for the existence of a unique positive almost periodic solution which is uniformly asymptotically stable. An example together with numerical simulation indicates the feasibility of the main result.