Almost Periodic Solution of a Multispecies Discrete Mutualism System with Feedback Controls

Hui Zhang, Feng Feng, Bin Jing and Yingqi Li

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-14

Abstract:

We consider an almost periodic multispecies discrete Lotka-Volterra mutualism system with feedback controls. We firstly 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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:268378

DOI: 10.1155/2015/268378

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