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具有阶段结构与时滞的捕食系统模型的永久持续生存和稳定性 被引量：2

The Permanent Survival and Stability for Predatory System Model with Stage Structure and Time Delay
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摘要 研究了具有时滞和阶段结构的捕食者-食饵模型,得到了与时滞有关的系统永久持续生存的充分条件;同时通过构造Lyapunov函数得到了与时滞有关的系统全局渐近稳定的充分条件。 A predator-prey model with time delay and stage structure is investigated and the sufficient conditions are obtained for the permanent survival of the system relating to time delay. Meanwhile, by structuring the Lyapunov function, the sufficient conditions for global asymptotic stability of the system relating to the time delay are obtained.
作者 程惠东 孙秋霞 常正波
机构地区 山东科技大学理学院
出处 《山东科技大学学报（自然科学版）》 CAS 2008年第4期74-77,共4页 Journal of Shandong University of Science and Technology(Natural Science)
基金 山东科技大学青年自然科学基金项目(015016)
关键词 永久持续生存 全局渐近稳定 阶段结构 时滞 permanent survival globally asymptotic stability stage structure time delay
分类号 O175.14 [理学—基础数学]
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参考文献9

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  • 9程惠东,孟新柱,张伟伟.具有Beddington-Deangelis类功能反应的时滞食物链系统全局吸引性研究[J].山东科技大学学报（自然科学版）,2007,26(3):102-105. 被引量：6

二级参考文献1

共引文献5

同被引文献15

  • 1AIELLO W G, FREEDMAN H I. A time delay model of single-species growth with stage structure[J]. Math. Biosci, 1990, 101(2) :139-153.
  • 2MENG X Z,JIAO J J,CHEN L S. The dynamics of an age predator prey model with disturbing pulse and time delays[J]. Nonlinear Analysis : Real World Applications, 2008,9 (2) : 547-561.
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  • 8程惠东,孟新柱,张伟伟.具有Beddington-Deangelis类功能反应的时滞食物链系统全局吸引性研究[J].山东科技大学学报（自然科学版）,2007,26(3):102-105. 被引量：6
  • 9Xinzhu MENG,Lansun CHEN.A STAGE-STRUCTURED SI ECO-EPIDEMIOLOGICAL MODEL WITH TIME DELAY AND IMPULSIVE CONTROLLING[J].Journal of Systems Science & Complexity,2008,21(3):427-440. 被引量：5
  • 10朱呈祥,邹云.分数阶控制研究综述[J].控制与决策,2009,24(2):161-169. 被引量：90

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山东科技大学学报（自然科学版）
2008年 第4期

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