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Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System

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  • Heping Ma
  • Jianguo Gao
  • Lingling Xie

Abstract

A discrete two-species competitive model is investigated. By using some preliminary lemmas and constructing a Lyapunov function, the existence and uniformly asymptotic stability of positive almost periodic solutions of the system are derived. In addition, an example and numerical simulations are presented to illustrate and substantiate the results of this paper.

Suggested Citation

  • Heping Ma & Jianguo Gao & Lingling Xie, 2015. "Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-13, February.
    • Handle: RePEc:hin:jnddns:658758
    DOI: 10.1155/2015/658758
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