A Delayed Ratio-dependent Predator-prey System with Stage-structured and Impulsive Stocking on Predator

نویسندگان

  • Zuxiong Li
  • Lansun Chen
  • Z. Li
  • L. Chen
چکیده

In this paper, a delayed ratio-dependent Holling-III predator-prey system with stage-structured and impulsive stocking on predator and continuous harvesting on prey is considered. We obtain sufficient conditions of the global attractivity of prey-extinction periodic solution and the permanence of the system. These results show that the behavior of impulsive stocking on predator plays an important role for the permanence of the system. We also prove that all solutions of the system are uniformly ultimately bounded. Our results show that the biological resource management is effective and reliable. AMS Subject Classification: 34A37, 34K45

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تاریخ انتشار 2010