%0 Journal Article
%T Transport equation for growing bacterial populations (I)
%A Mohamed Boulanouar
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X This work deals with a mathematical study for growing a bacterial population. Each bacterium is distinguished by its degree of maturity and its maturation velocity. Here we study the limit case corresponding to infinite maturation velocities. We show that this model is governed by a strongly continuous semigroup. We also study the lattice and spectral properties of the generated semigroup and we compute its type.
%K Semigroups
%K positivity
%K irreducibility
%K spectral properties
%K cell population dynamics
%K general boundary condition
%U http://ejde.math.txstate.edu/Volumes/2012/221/abstr.html