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 , 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
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