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

Author

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  • Ronghua Tan
  • Zuxiong Li
  • Qinglong Wang
  • Zhijun Liu

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.

Suggested Citation

  • Ronghua Tan & Zuxiong Li & Qinglong Wang & Zhijun Liu, 2014. "Positive Periodic Solutions of a Periodic Discrete Competitive System Subject to Feedback Controls," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-10, June.
    • Handle: RePEc:hin:jnljam:927626
    DOI: 10.1155/2014/927626
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