Mohamed Boulanouar
Abstract:
This article studies the growing bacterial population.
Each bacterium is distinguished by its degree of maturity
and its maturation velocity.
To complete the study in [3], we describe the bacterial
profile of this population by proving that the generated
semigroup possesses an asynchronous exponential growth property.
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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