Positive Periodic Solutions of a Periodic Discrete Competitive System Subject to Feedback Controls

Ronghua Tan, Zuxiong Li, Qinglong Wang and Zhijun Liu

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/927626

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:927626

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