• DocumentCode
    653094
  • Title

    Global dynamics of a TB transmission model with TB defaulters

  • Author

    Luju Liu ; Yusen Wu

  • Author_Institution
    Sch. of Math. & Stat., Henan Univ. of Sci. & Technol., Luoyang, China
  • fYear
    2013
  • fDate
    25-27 Sept. 2013
  • Firstpage
    477
  • Lastpage
    481
  • Abstract
    A TB transmission model with TB defaulters is presented in this paper. The global dynamics of the TB model is established by constructing proper Lyapunov functions. It is proved that the disease-free equilibrium is globally asymptotically stable if the basic reproduction number R0 is below unity; and the unique endemic equilibrium is globally asymptotically stable if the basic reproduction number R0 is above unity.
  • Keywords
    Lyapunov methods; diseases; Lyapunov functions; TB defaulters; TB transmission model; basic reproduction number; disease-free equilibrium; endemic equilibrium; global dynamics; tuberculosis; Equations; Lyapunov methods; Mathematical model; Organizations; Silicon; Sociology; Statistics; Global dynamics; Lyapunov function; TB defaulters; the basic reproduction number; tuberculosis transmission model;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Advanced Mechatronic Systems (ICAMechS), 2013 International Conference on
  • Conference_Location
    Luoyang
  • Print_ISBN
    978-1-4799-2518-6
  • Type

    conf

  • DOI
    10.1109/ICAMechS.2013.6681831
  • Filename
    6681831
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=653094