• Title of article

    Global analysis for delay virus dynamics model with Beddington–DeAngelis functional response

  • Author/Authors

    Huang، نويسنده , , Gang and Ma، نويسنده , , Wanbiao and Takeuchi، نويسنده , , Yasuhiro، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2011
  • Pages
    5
  • From page
    1199
  • To page
    1203
  • Abstract
    A class of virus dynamics model with intracellular delay and nonlinear infection rate of Beddington–DeAngelis functional response is analysed in this paper. By constructing suitable Lyapunov functionals and using LaSalle-type theorem for delay differential equations, we show that the global stability of the infection-free equilibrium and the infected equilibrium depends on the basic reproductive ratio R 0 , that is, the former is globally stable if R 0 ≤ 1 and so is the latter if R 0 > 1 . Our results extend the known results on delay virus dynamics considered in the other papers and suggest useful methods to control virus infection.
  • Keywords
    Intracellular delay , Global properties , Lyapunov functional , Functional response
  • Journal title
    Applied Mathematics Letters
  • Serial Year
    2011
  • Journal title
    Applied Mathematics Letters
  • Record number

    1527925