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

Qinglong Wang and Zhijun Liu

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/182158

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:182158

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