Existence, positivity and stability for a nonlinear model of cellular proliferation
| dc.creator | Adimy, Mostafa | |
| dc.creator | Crauste, Fabien | |
| dc.date | 2009-04-16 | |
| dc.date.accessioned | 2026-07-07T13:04:59Z | |
| dc.date.available | 2026-07-07T13:04:59Z | |
| dc.description | In this paper, we investigate a system of two nonlinear partial differential equations, arising from a model of cellular proliferation which describes the production of blood cells in the bone marrow. Due to cellular replication, the two partial differential equations exhibit a retardation of the maturation variable and a temporal delay depending on this maturity. We show that this model has a unique solution which is global under a classical Lipschitz condition. We also obtain the positivity of the solutions and the local and global stability of the trivial equilibrium. | |
| dc.identifier | https://arxiv.org/abs/0904.2473 | |
| dc.identifier | http://arxiv.org/abs/0904.2473 | |
| dc.identifier | Nonlinear Analysis Real World Applications 6, 2 (2005) 337-366 | |
| dc.identifier | doi:10.1016/j.nonrwa.2004.09.001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227359 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Existence, positivity and stability for a nonlinear model of cellular proliferation | |
| dc.type | text |