Electron. J. Diff. Equ., Vol. 2012 (2012), No. 222, pp. 1-21.

Transport equation for growing bacterial populations (II)

Mohamed Boulanouar

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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