• Title of article

    Global stability of a partial differential equation with distributed delay due to cellular replication Original Research Article

  • Author/Authors

    Mostafa Adimy، نويسنده , , Fabien Crauste، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    23
  • From page
    1469
  • To page
    1491
  • Abstract
    In this paper, we investigate a nonlinear partial differential equation, arising from a model of cellular proliferation. This model describes the production of blood cells in the bone marrow. It is represented by a partial differential equation with a retardation of the maturation variable and a distributed temporal delay. Our aim is to prove that the behaviour of primitive cells influences the global behaviour of the population.
  • Keywords
    distributed delay , Nonlinear partial differential equation , Blood production system , Age-maturity structured model , Local and global stability , Cell replication
  • Journal title
    Nonlinear Analysis Theory, Methods & Applications
  • Serial Year
    2003
  • Journal title
    Nonlinear Analysis Theory, Methods & Applications
  • Record number

    858441