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arXiv · 0904.2472

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

Mostafa Adimy·Fabien Crauste
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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.

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Mostafa Adimy, Fabien Crauste. 2009-04-16. Global stability of a partial differential equation with distributed delay due to cellular replication. https://doi.org/10.1016/s0362-546x(03)00197-4

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