Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cyber Epidemic Models with Dependences   Studying models of cyber epidemics over arbitrary complex networks can deepen
our understanding of cyber security from a whole-system perspective. In this
paper, we initiate the investigation of cyber epidemic models that accommodate
the {\em dependences} between the cyber attack events. Due to the notorious
difficulty in dealing with such dependences, essentially all existing cyber
epidemic models have assumed them away. Specifically, we introduce the idea of
Copulas into cyber epidemic models for accommodating the dependences between
the cyber attack events. We investigate the epidemic equilibrium thresholds as
well as the bounds for both equilibrium and non-equilibrium infection
probabilities. We further characterize the side-effects of assuming away the
due dependences between the cyber attack events, by showing that the results
thereof are unnecessarily restrictive or even incorrect.

37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an