Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interplay between the local information based behavioral responses and
  the epidemic spreading in complex networks   The spreading of an infectious disease can trigger human behavior responses
to the disease, which in turn plays a crucial role on the spreading of
epidemic. In this study, to illustrate the impacts of the human behavioral
responses, a new class of individuals, $S^F$, is introduced to the classical
susceptible-infected-recovered ($SIR$) model. In the model, $S^F$ state
represents that susceptible individuals who take self-initiate protective
measures to lower the probability of being infected, and a susceptible
individual may go to $S^F$ state with a response rate when contacting an
infectious neighbor. Via the percolation method, the theoretical formulas for
the epidemic threshold as well as the prevalence of epidemic are derived. Our
finding indicates that, with the increasing of the response rate, the epidemic
threshold is enhanced and the prevalence of epidemic is reduced. The analytical
results are also verified by the numerical simulations. In addition, we
demonstrate that, because the mean field method neglects the dynamic
correlations, a wrong result based on the mean field method is obtained---the
epidemic threshold is not related to the response rate, i.e., the additional
$S^F$ state has no impact on the epidemic threshold.

29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat