Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-patch multi-group epidemic model with varying infectivity   This paper presents a law of large numbers result, as the size of the
population tends to infinity, of SIR stochastic epidemic models, for a
population distributed over $L$ distinct patches (with migrations between them)
and $K$ distinct groups (possibly age groups). The novelty is that the
infectivity of an infected individual is infection age dependent. More
precisely, to each infected individual is attached a random infection age
dependent infectivity, such that the various random functions attached to
distinct individuals are i.i.d. Our proof assumes less restriction on those
random functions than our earlier proof for the homogeneous model. We first
explain the new proof under the weak assumptions for the homogeneous model, and
then describe the multipatch--multigroup model and prove the law of large
numbers for that model.

3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con