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一类具有变消耗率的恒化器模型的脉冲扰动与分支

张弘 P·齐奥塞斯库 J·J·涅托 陈兰荪

张弘, P·齐奥塞斯库, J·J·涅托, 陈兰荪. 一类具有变消耗率的恒化器模型的脉冲扰动与分支[J]. 应用数学和力学, 2009, 30(7): 873-882. doi: 10.3879/j.issn.1000-0887.2009.07.012
引用本文: 张弘, P·齐奥塞斯库, J·J·涅托, 陈兰荪. 一类具有变消耗率的恒化器模型的脉冲扰动与分支[J]. 应用数学和力学, 2009, 30(7): 873-882. doi: 10.3879/j.issn.1000-0887.2009.07.012
ZHANG Hong, Paul Georgescu, Juan J. Nieto, CHEN Lan-sun. On the Impulsive Perturbation and Bifurcation of Solutions for a Model of Chemostat With Variable Yield[J]. Applied Mathematics and Mechanics, 2009, 30(7): 873-882. doi: 10.3879/j.issn.1000-0887.2009.07.012
Citation: ZHANG Hong, Paul Georgescu, Juan J. Nieto, CHEN Lan-sun. On the Impulsive Perturbation and Bifurcation of Solutions for a Model of Chemostat With Variable Yield[J]. Applied Mathematics and Mechanics, 2009, 30(7): 873-882. doi: 10.3879/j.issn.1000-0887.2009.07.012

一类具有变消耗率的恒化器模型的脉冲扰动与分支

doi: 10.3879/j.issn.1000-0887.2009.07.012
基金项目: 国家自然科学基金资助项目(10471104);江苏大学高级人才基金项目的资助(08JDG047)
详细信息
    作者简介:

    张弘(1978- ),男,江苏常州人,讲师,博士(联系人.E-mail:cnczzhanghong@163.com;E-mail:hongzhang@ujs.edu.cn).

  • 中图分类号: O175

On the Impulsive Perturbation and Bifurcation of Solutions for a Model of Chemostat With Variable Yield

  • 摘要: 提出和研究了一个具有变消耗率和非同步脉冲的恒化器模型,并且得到了一组像阈值一样的条件来确保系统半平凡周期解的全局渐稳性,系统的持久性以及出现非平凡分支周期解.最后,一些数值模拟体现了该模型的动力学性态.
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出版历程
  • 收稿日期:  2008-12-26
  • 修回日期:  2009-06-10
  • 刊出日期:  2009-07-15

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