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具有脉冲收获的捕食系统的周期解
引用本文:董淑转,任运平,刘俊俏.具有脉冲收获的捕食系统的周期解[J].数学的实践与认识,2009,39(17).
作者姓名:董淑转  任运平  刘俊俏
作者单位:山西省运城学院,应用数学系,山西,运城,044000
基金项目:山西省高校科技研究开发项目,运城学院科研项目 
摘    要:考虑了一类具有阶段结构和脉冲收获的捕食模型.讨论了解的非负性和有界性.利用重合度定理,得到了正周期解存在的充分条件.

关 键 词:阶段  重合度  时滞  周期解

Periodic Solution of Predator-prey System with Impulsive Harvesting and Stage-Structured
DONG Shu-zhuan,REN Yun-ping,LIU Jun-qiao.Periodic Solution of Predator-prey System with Impulsive Harvesting and Stage-Structured[J].Mathematics in Practice and Theory,2009,39(17).
Authors:DONG Shu-zhuan  REN Yun-ping  LIU Jun-qiao
Abstract:We consider a predator-prey model, which has stage structure and impulsive harvesting. We discuss the boundedness of solution. By using the continuation theorem of coincidence degree theory, a sufficient condition is obtained for the existence of a positive periodic solution of this system.
Keywords:staged structure  coincidence degree  delay  periodic solution
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