Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pairwise-like models for non-Markovian epidemics on networks   In this letter, a generalization of pairwise models to non-Markovian
epidemics on networks is presented. For the case of infectious periods of fixed
length, the resulting pairwise model is a system of delay differential
equations (DDEs), which shows excellent agreement with results based on
explicit stochastic simulations of non-Markovian epidemics on networks.
Furthermore, we analytically compute a new R0-like threshold quantity and an
implicit analytical relation between this and the final epidemic size. In
addition we show that the pairwise model and the analytic calculations can be
generalized in terms of integro-differential equations to any distribution of
the infectious period, and we illustrate this by presenting a closed form
expression for the final epidemic size. By showing the rigorous mathematical
link between non-Markovian network epidemics and pairwise DDEs, we provide the
framework for a deeper and more rigorous understanding of the impact of
non-Markovian dynamics with explicit results for final epidemic size and
threshold quantities.

31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an