Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local-density dependent Markov processes on graphons with
  epidemiological applications   We investigate local-density dependent Markov processes on a class of large
graphs sampled from a graphon, where the transition rates of the vertices are
influenced by the states of their neighbors. We show that as the average degree
converges to infinity, the evolution of the process in the transient regime
converges to the solution of a set of non-local integro-partial differential
equations. We also provide rigorous derivation for the epidemic threshold in
the case of the Susceptible-Infected-Susceptible (SIS) process on such
graphons.

4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin