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Note on the Stability Property of a Cooperative System Incorporating Harvesting

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  • Xiangdong Xie
  • Fengde Chen
  • Yalong Xue

Abstract

The stability of a kind of cooperative model incorporating harvesting is revisited in this paper. By using an iterative method, the global attractivity of the interior equilibrium point of the system is investigated. We show that the condition which ensures the existence of a unique positive equilibrium is enough to ensure the global attractivity of the positive equilibrium. Our results significantly improve the corresponding results of Wei and Li (2013).

Suggested Citation

  • Xiangdong Xie & Fengde Chen & Yalong Xue, 2014. "Note on the Stability Property of a Cooperative System Incorporating Harvesting," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-5, April.
    • Handle: RePEc:hin:jnddns:327823
    DOI: 10.1155/2014/327823
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    Cited by:

    1. Xiangqin Yu & Zhenliang Zhu & Fengde Chen, 2020. "Dynamic Behaviors of a Single Species Stage Structure Model with Michaelis–Menten-TypeJuvenile Population Harvesting," Mathematics, MDPI, vol. 8(8), pages 1-15, August.

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