Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Epidemic spreading with nonlinear infectivity in weighted scale-free
  networks   In this paper, we investigate the epidemic spreading for SIR model in
weighted scale-free networks with nonlinear infectivity, where the transmission
rate in our analytical model is weighted. Concretely, we introduce the
infectivity exponent $\alpha$ and the weight exponent $\beta$ into the
analytical SIR model, then examine the combination effects of $\alpha$ and
$\beta$ on the epidemic threshold and phase transition. We show that one can
adjust the values of $\alpha$ and $\beta$ to rebuild the epidemic threshold to
a finite value, and it is observed that the steady epidemic prevalence $R$
grows in an exponential form in the early stage, then follows hierarchical
dynamics. Furthermore, we find $\alpha$ is more sensitive than $\beta$ in the
transformation of the epidemic threshold and epidemic prevalence, which might
deliver some useful information or new insights in the epidemic spreading and
the correlative immunization schemes.

15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph