Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well Posedness and Control in a NonLocal SIR Model   SIR models, also with age structure, can be used to describe the evolution of
an infective disease. A vaccination campaign influences this dynamics
immunizing part of the susceptible individuals, essentially turning them into
recovered individuals. We assume that vaccinations are dosed at prescribed
times or ages which introduce discontinuities in the evolutions of the S and R
populations. It is then natural to seek the 'best' vaccination strategies in
terms of costs and/or effectiveness. This paper provides the basic well
posedness and stability results on the SIR model with vaccination campaigns,
thus ensuring the existence of optimal dosing strategies.

5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex