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, 1-9

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:182158

DOI: 10.1155/2013/182158

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