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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

孟新柱 赵秋兰 陈兰荪

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[J]. 应用数学和力学, 2008, 29(1): 69-80.
引用本文: 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[J]. 应用数学和力学, 2008, 29(1): 69-80.
MENG Xin-zhu, ZHAO Qiu-lan, CHEN Lan-sun. Global Qualitative Analysis of a New Monod Type Chemostat Model With Delayed Growth Response and Pulsed Input in a Polluted Environment[J]. Applied Mathematics and Mechanics, 2008, 29(1): 69-80.
Citation: MENG Xin-zhu, ZHAO Qiu-lan, CHEN Lan-sun. Global Qualitative Analysis of a New Monod Type Chemostat Model With Delayed Growth Response and Pulsed Input in a Polluted Environment[J]. Applied Mathematics and Mechanics, 2008, 29(1): 69-80.

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

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

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

  • 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.
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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

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