ALMOST PERIODIC SOLUTION OF A MULTISPECIES DISCRETE LOTKA-VOLTERRA MUTUALISM SYSTEM

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.

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