Differential and Integral Equations

A transport equation in cell population dynamics

M. Boulanouar and H. Emamirad

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In this paper we prove the well-posedness of the Rotenberg's model [16] describing the growth of cell population which resembles that used in classical transport theory. In this model the density of cell population are distinguished by their degree of maturation and the maturation velocity with mitotic boundary condition. We prove the positivity, irreducibility of the generated semigroup which converges asymptotically to a projection of the rank one.

Article information

Differential Integral Equations, Volume 13, Number 1-3 (2000), 125-144.

First available in Project Euclid: 21 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 92D25: Population dynamics (general)


Boulanouar, M.; Emamirad, H. A transport equation in cell population dynamics. Differential Integral Equations 13 (2000), no. 1-3, 125--144. https://projecteuclid.org/euclid.die/1356124293

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