Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modelling physiologically structured populations: renewal equations and
  partial differential equations   We analyse the long term behaviour of the measure-valued solutions of a class
of linear renewal equations modelling physiologically structured populations.
The renewal equations that we consider are characterised by a regularisation
property of the kernel. This regularisation property allows to deduce the large
time behaviour of the measure-valued solutions from the asymptotic behaviour of
their absolutely continuous, with respect to the Lebesgue measure, component.
We apply the results to a model of cell growth and fission and to a model of
waning and boosting of immunity. For both models we relate the renewal equation
(RE) to the partial differential equation (PDE) formulation and draw
conclusions about the asymptotic behaviour of the solutions of the PDEs.

21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas