Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two critical times for the SIR model   We consider the SIR model and study the first time the number of infected
individuals begins to decrease and the first time this population is below a
given threshold. We interpret these times as functions of the initial
susceptible and infected populations and characterize them as solutions of a
certain partial differential equation. This allows us to obtain integral
representations of these times and in turn to estimate them precisely for large
populations.

16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin