Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Epidemic Extinction Paths in Complex Networks   We study the extinction of long-lived epidemics on finite complex networks
induced by intrinsic noise. Applying analytical techniques to the stochastic
Susceptible-Infected-Susceptible model, we predict the distribution of large
fluctuations, the most probable, or optimal path through a network that leads
to a disease-free state from an endemic state, and the average extinction time
in general configurations. Our predictions agree with Monte-Carlo simulations
on several networks, including synthetic weighted and degree-distributed
networks with degree correlations, and an empirical high school contact
network. In addition, our approach quantifies characteristic scaling patterns
for the optimal path and distribution of large fluctuations, both near and away
from the epidemic threshold, in networks with heterogeneous eigenvector
centrality and degree distributions.

1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess
9
The categories of this paper are: nlin