Mohamed Boulanouar
Abstract:
This work deals with a mathematical study for growing a bacterial
population. Each bacterium is distinguished by its degree of maturity
and its maturation velocity.
Here we study the limit case corresponding to infinite maturation
velocities. We show that this model is governed by a strongly
continuous semigroup. We also study the lattice and spectral
properties of the generated semigroup and we compute its type.
Submitted September 3, 2012. Published December 4, 2012.
Math Subject Classifications: 92C37, 82D75.
Key Words: Semigroups; positivity; irreducibility; spectral properties;
cell population dynamics; general boundary condition.
An addendum was attached on June 24, 2013. It corrects some misprints. See the last page of this article.
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| Mohamed Boulanouar LMCM-RSA, Universite de Poitiers 86000 Poitiers, France email: boulanouar@gmail.com |
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