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Positive Almost Periodic Solutions for a Discrete Competitive System Subject to Feedback Controls

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  • Qinglong Wang
  • Zhijun Liu
  • Zuxiong Li

Abstract

This paper concerns a discrete competitive system subject to feedback controls. By using Lyapunov function and some preliminary lemmas, the existence and uniformly asymptotic stability of unique positive almost periodic solution of the system are investigated. Numerical simulations suggest the feasibility of our theoretical results.

Suggested Citation

  • Qinglong Wang & Zhijun Liu & Zuxiong Li, 2013. "Positive Almost Periodic Solutions for a Discrete Competitive System Subject to Feedback Controls," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:429163
    DOI: 10.1155/2013/429163
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    References listed on IDEAS

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    1. Qinglong Wang & Zhijun Liu, 2013. "Uniformly Asymptotic Stability of Positive Almost Periodic Solutions for a Discrete Competitive System," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, May.
    2. Qinglong Wang & Zhijun Liu, 2013. "Uniformly Asymptotic Stability of Positive Almost Periodic Solutions for a Discrete Competitive System," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
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    Cited by:

    1. Liqiong Pu & Xiangdong Xie & Fengde Chen & Zhanshuai Miao, 2016. "Extinction in Two‐Species Nonlinear Discrete Competitive System," Discrete Dynamics in Nature and Society, John Wiley & Sons, vol. 2016(1).

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