• DocumentCode
    3123801
  • Title

    On the Chemostat Model with Impulsive Input and Time Delay

  • Author

    Li, Luping ; Jia, Jianwen ; Cao, Hui

  • Author_Institution
    Coll. of Math. & Comput. Sci., Shanxi Datong Univ., Datong, China
  • fYear
    2010
  • fDate
    18-20 June 2010
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    In this paper, we investigate a chemostat model with delay and periodically pulsed input nutrient. We obtain the sufficient condition for global attractivity of the microorganism-extinction periodic solutions and the permanence of the system. And, we also prove that all solutions of system are ultimately uniformly bounded.
  • Keywords
    biology; delays; differential equations; chemostat model; global attractivity condition; impulsive input delay; microorganism-extinction periodic solutions; periodically pulsed input nutrient; time delay; Biological system modeling; Computer science; Delay effects; Differential equations; Educational institutions; Laboratories; Mathematical model; Mathematics; Organisms; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Bioinformatics and Biomedical Engineering (iCBBE), 2010 4th International Conference on
  • Conference_Location
    Chengdu
  • ISSN
    2151-7614
  • Print_ISBN
    978-1-4244-4712-1
  • Electronic_ISBN
    2151-7614
  • Type

    conf

  • DOI
    10.1109/ICBBE.2010.5516572
  • Filename
    5516572