Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete limit and monotonicity properties of the Floquet eigenvalue in
  an age structured cell division cycle model   We consider a cell population described by an age-structured partial
differential equation with time periodic coefficients. We assume that division
only occurs after a minimal age (majority) and within certain time intervals.
We study the asymptotic behavior of the dominant Floquet eigenvalue, or
Perron-Frobenius eigenvalue, representing the growth rate, as a function of the
majority age, when the division rate tends to infinity (divisions become
instantaneous). We show that the dominant Floquet eigenvalue converges to a
staircase function with an infinite number of steps, determined by a discrete
dynamical system. As an intermediate result, we give a structural condition
which guarantees that the dominant Floquet eigenvalue is a nondecreasing
function of the division rate. We also give a counter example showing that the
latter monotonicity property does not hold in general.

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The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph