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
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