Note on the Stability Property of a Cooperative System Incorporating Harvesting | Zendy

Xiangdong Xie | Zendy; Fengde Chen | Zendy; Yalong Xue | Zendy

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Note on the Stability Property of a Cooperative System Incorporating Harvesting

Author(s) -

Xiangdong Xie,

Fengde Chen,

Yalong Xue

Publication year - 2014

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2014/327823

Subject(s) - stability (learning theory) , property (philosophy) , equilibrium point , mathematics , point (geometry) , control theory (sociology) , mathematical optimization , mathematical economics , computer science , mathematical analysis , artificial intelligence , geometry , differential equation , philosophy , control (management) , epistemology , machine learning

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)

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