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Uniformly Asymptotic Stability of Positive Almost Periodic Solutions for a Discrete Competitive System

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  • Qinglong Wang
  • Zhijun Liu

Abstract

This paper is devoted to the study of almost periodic solutions of a discrete two-species competitive system. With the help of the methods of the Lyapunov function, some analysis techniques, and preliminary lemmas, we establish a criterion for the existence, uniqueness, and uniformly asymptotic stability of positive almost periodic solution of the system. Numerical simulations are presented to illustrate the analytical results.

Suggested Citation

  • 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.
  • Handle: RePEc:hin:jnljam:182158
    DOI: 10.1155/2013/182158
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    Cited by:

    1. Liang Zhao & Fengde Chen & Saixi Song & Guizhen Xuan, 2020. "The Extinction of a Non-Autonomous Allelopathic Phytoplankton Model with Nonlinear Inter-Inhibition Terms and Feedback Controls," Mathematics, MDPI, vol. 8(2), pages 1-13, February.

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