On a Mathematical model with non-compact boundary conditions describing bacterial population (Ⅱ)

Mohamed Boulanouar

doi:10.3934/eect.2019014

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2019, Volume 8, Issue 2: 247-271. Doi: 10.3934/eect.2019014

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On a Mathematical model with non-compact boundary conditions describing bacterial population (Ⅱ)

Mohamed Boulanouar

LMCM-RSA, 22 Rue Des Canadiens, Poitiers, 86000, France

Received: May 31, 2018

Revised: August 31, 2018

Early access: March 2019

Published: May 2019

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Abstract

This work is a natural continuation of an earlier one [1] in which a mathematical model has been studied. This model is based on maturation-velocity structured bacterial population. The bacterial mitosis is mathematically described by a non-compact boundary condition. We investigate the spectral properties of the generated semigroup and we give an explicit estimation of the bound of its infinitesimal generator.

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Mathematics Subject Classification: Primary: 92C05, 45K05; Secondary: 47D06.

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References

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