Mohamed Boulanouar
Abstract:
In this work, we complete a study started earlier in [1,2]
wherein a model of growing bacterial
population has been the matter of a mathematical analysis.
We show that the full model is governed by a strongly continuous semigroup.
Beside the positivity and the irreducibility of the generated semigroup,
we describe its asymptotic behavior in the uniform topology
which leads to the asynchronous exponential growth of the bacterial population.
Submitted October 2, 2013. Published January 7, 2014.
Math Subject Classifications: 92C37, 82D75.
Key Words: Cell population dynamic; asynchronous exponential growth; semigroup.
A corrigendum was posted on October 29, 2014. It modifies the proof of Proposition 4.3. 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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