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

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

2009-04-16

arxiv.org/abs/0904.2472v1

Nonlinear Analysis Theory Methods and Applications 54, 8 (2003) 1469-1491

Mathematics

Analysis of PDEs

Scientific paper

10.1016/S0362-546X(03)00197-4

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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