一类新的污染环境下具有时滞增长反应及脉冲输入的Monod恒化器模型的定性分析

孟新柱; 赵秋兰; 陈兰荪

一类新的污染环境下具有时滞增长反应及脉冲输入的Monod恒化器模型的定性分析

1.
大连理工大学应用数学系,辽宁大连 116024;2.山东科技大学理学院,山东青岛 266510;3.中国科学院数学与系统科学研究院,北京 100080

基金项目: 国家自然科学基金资助项目(10471117;10771179)

详细信息

作者简介:
孟新柱(1972- ),男,山东定陶人,副教授,博士(联系人.Tel:+86-532-86057931;E-mail:mxz721106@sdust.edu.cn).

中图分类号: O175
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出版历程
- 收稿日期: 2007-09-05
- 修回日期: 2007-12-10
- 刊出日期: 2008-01-15

Global Qualitative Analysis of a New Monod Type Chemostat Model With Delayed Growth Response and Pulsed Input in a Polluted Environment

1.
Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China;

摘要

摘要: 考虑了一类新的污染环境下具有时滞增长反应及脉冲输入的Monod恒化器模型．运用离散动力系统的频闪映射,获得了一个‘微生物灭绝’周期解,进一步获得了该周期解全局吸引的充分条件．运用脉冲时滞泛函微分方程新的计算技巧,证明了系统在适当的条件下是持久的,结论还表明该时滞是“有害”时滞．
- 持久性 /
- 脉冲输入 /
- 恒化器模型 /
- 增长反应时滞 /
- 灭绝
Abstract: A new Monod type chemostat model is considered with time delay and pulsedinput concentration of the nutrient in a polluted environment. Using the discrete dynamical system deter mined by the stroboscopic map, a-microorg anismex tinction. periodic solution is obtained. Further more, the sufficient conditions for the global attractivity of the micro organism-extinction periodic solution are established. Using new computational techniques for impulsive and delayed differential equation, it is proved that the system is permanent under appropriate conditions. The results show that time delay is "profitless".
- permanence /
- impulsive input /
- chemostat model /
- time delay for growth response /
- extinction

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参考文献(37)

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一类新的污染环境下具有时滞增长反应及脉冲输入的Monod恒化器模型的定性分析

作者简介:
孟新柱(1972- ),男,山东定陶人,副教授,博士(联系人.Tel:+86-532-86057931;E-mail:mxz721106@sdust.edu.cn).

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Global Qualitative Analysis of a New Monod Type Chemostat Model With Delayed Growth Response and Pulsed Input in a Polluted Environment

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一类新的污染环境下具有时滞增长反应及脉冲输入的Monod恒化器模型的定性分析

作者简介: 孟新柱(1972- ),男,山东定陶人,副教授,博士(联系人.Tel:+86-532-86057931;E-mail:mxz721106@sdust.edu.cn).

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出版历程

Global Qualitative Analysis of a New Monod Type Chemostat Model With Delayed Growth Response and Pulsed Input in a Polluted Environment

计量

出版历程

目录

作者简介:
孟新柱(1972- ),男,山东定陶人,副教授,博士(联系人.Tel:+86-532-86057931;E-mail:mxz721106@sdust.edu.cn).