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

Ronghua Tan | Zendy; Zuxiong Li | Zendy; Qinglong Wang | Zendy; Zhijun Liu | Zendy

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

Author(s) -

Ronghua Tan,

Zuxiong Li,

Qinglong Wang,

Zhijun Liu

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/927626

Subject(s) - mathematics , stability (learning theory) , periodic system , discrete time and continuous time , fixed point theorem , exponential stability , control theory (sociology) , subject (documents) , mathematical analysis , computer science , control (management) , nonlinear system , statistics , physics , quantum mechanics , machine learning , artificial intelligence , library science

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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