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
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
Journal title :
Nonlinear Analysis Theory, Methods & Applications