Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contact Adaption during Epidemics: A Multilayer Network Formulation
  Approach   People change their physical contacts as a preventive response to infectious
disease propagations. Yet, only a few mathematical models consider the coupled
dynamics of the disease propagation and the contact adaptation process. This
paper presents a model where each agent has a default contact neighborhood set,
and switches to a different contact set once she becomes alert about infection
among her default contacts. Since each agent can adopt either of two possible
neighborhood sets, the overall contact network switches among 2^N possible
configurations. Notably, a two-layer network representation can fully model the
underlying adaptive, state-dependent contact network. Contact adaptation
influences the size of the disease prevalence and the epidemic threshold---a
characteristic measure of a contact network robustness against epidemics---in a
nonlinear fashion. Particularly, the epidemic threshold for the presented
adaptive contact network belongs to the solution of a nonlinear
Perron-Frobenius (NPF) problem, which does not depend on the contact adaptation
rate monotonically. Furthermore, the network adaptation model predicts a
counter-intuitive scenario where adaptively changing contacts may adversely
lead to lower network robustness against epidemic spreading if the contact
adaptation is not fast enough. An original result for a class of NPF problems
facilitate the analytical developments in this paper.

2
The categories of this paper are: math
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th