Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of Infectious-Recovery Epidemic Models for Membership Dynamics
  of Online Social Networks   The recent rapid growth of social media and online social networks (OSNs) has
raised interesting questions about the spread of ideas and fads within our
society. In the past year, several papers have drawn analogies between the rise
and fall in popularity of OSNs and mathematical models used to study infectious
disease. One such model, the irSIR model, made use of the idea of "infectious
recovery" to outperform the traditional SIR model in replicating the rise and
fall of MySpace and to predict a rapid drop in the popularity of Facebook. Here
we explore the irSIR model and two of its logical extensions and we
mathematically characterize the initial and long-run behavior of these
dynamical systems. In particular, while the original irSIR model always
predicts extinction of a social epidemic, we construct an extension of the
model that matches the exponential growth phase of the irSIR model while
allowing for the possibility of an arbitrary proportion of infections in the
long run.

27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph