Global stability of a partial differential equation with distributed delay due to cellular replication
Analysis of PDEs
2009-04-17 v1
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
Cite
@article{arxiv.0904.2472,
title = {Global stability of a partial differential equation with distributed delay due to cellular replication},
author = {Mostafa Adimy and Fabien Crauste},
journal= {arXiv preprint arXiv:0904.2472},
year = {2009}
}