On the stability of a maturity structured model of cellular proliferation

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dc.creatorAdimy, Mostafa
dc.creatorCrauste, Fabien
dc.creatorPujo-Menjouet, Laurent
dc.date2009-04-16
dc.date.accessioned2026-07-07T13:05:02Z
dc.date.available2026-07-07T13:05:02Z
dc.descriptionWe analyse the asymptotic behaviour of a nonlinear mathematical model of cellular proliferation which describes the production of blood cells in the bone marrow. This model takes the form of a system of two maturity structured partial differential equations, with a retardation of the maturation variable and a time delay depending on this maturity. We show that the stability of this system depends strongly on the behaviour of the immature cells population. We obtain conditions for the global stability and the instability of the trivial solution.
dc.identifierhttps://arxiv.org/abs/0904.2492
dc.identifierhttp://arxiv.org/abs/0904.2492
dc.identifierDiscrete and Continuous Dynamical Systems: Series A 12, 3 (2005) 501-522
dc.identifierdoi:10.3934/dcds.2005.12.501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227370
dc.subjectAnalysis of PDEs
dc.subjectCell Behavior
dc.subjectTissues and Organs
dc.titleOn the stability of a maturity structured model of cellular proliferation
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