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2014 Positive Periodic Solutions of a Periodic Discrete Competitive System Subject to Feedback Controls
Ronghua Tan, Zuxiong Li, Qinglong Wang, Zhijun Liu
J. Appl. Math. 2014: 1-10 (2014). DOI: 10.1155/2014/927626

Abstract

Species living in a fluctuating medium and human exploitation activities might result in the duration of continuous changes. Such changes can be well-approximated as feedback controls. In this contribution a periodic discrete competitive system subject to feedback controls is proposed. By using the methods of discrete inequality, fixed point theorem, and analysis techniques, a good understanding of the existence and global asymptotic stability of positive periodic solutions is obtained. Some numerical investigations are provided to verify our analytical results.

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Ronghua Tan. Zuxiong Li. Qinglong Wang. Zhijun Liu. "Positive Periodic Solutions of a Periodic Discrete Competitive System Subject to Feedback Controls." J. Appl. Math. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/927626

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131979
MathSciNet: MR3230585
Digital Object Identifier: 10.1155/2014/927626

Rights: Copyright © 2014 Hindawi

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