Journal of Applied Mathematics

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

Qinglong Wang and Zhijun Liu

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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.

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 182158, 9 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394807994

Digital Object Identifier
doi:10.1155/2013/182158

Zentralblatt MATH identifier
1266.37054

Citation

Wang, Qinglong; Liu, Zhijun. Uniformly Asymptotic Stability of Positive Almost Periodic Solutions for a Discrete Competitive System. J. Appl. Math. 2013 (2013), Article ID 182158, 9 pages. doi:10.1155/2013/182158. https://projecteuclid.org/euclid.jam/1394807994


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