Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic epidemic dynamics on extremely heterogeneous networks   Networks of contacts capable of spreading infectious diseases are often
observed to be highly heterogeneous, with the majority of individuals having
fewer contacts than the mean, and a significant minority having relatively very
many contacts. We derive a two-dimensional diffusion model for the full
temporal behavior of the stochastic susceptible-infectious-recovered (SIR)
model on such a network, by making use of a time-scale separation in the
deterministic limit of the dynamics. This low-dimensional process is an
accurate approximation to the full model in the limit of large populations,
even for cases when the time-scale separation is not too pronounced, provided
the maximum degree is not of the order of the population size.

32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph