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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.

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  • 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).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:182158
    DOI: 10.1155/2013/182158
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