Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Networked Multi-Virus Spread with a Shared Resource: Analysis and
  Mitigation Strategies   The paper studies multi-competitive continuous-time epidemic processes in the
presence of a shared resource. We consider the setting where multiple viruses
are simultaneously prevalent in the population, and the spread occurs due to
not only individual-to-individual interaction but also due to
individual-to-resource interaction. In such a setting, an individual is either
not affected by any of the viruses, or infected by one and exactly one of the
multiple viruses. We classify the equilibria into three classes: a) the healthy
state (all viruses are eradicated), b) single-virus endemic equilibria (all but
one viruses are eradicated), and c) coexisting equilibria (multiple viruses
simultaneously infect separate fractions of the population). We provide i) a
sufficient condition for exponential (resp. asymptotic) eradication of a virus;
ii) a sufficient condition for the existence, uniqueness and asymptotic
stability of a single-virus endemic equilibrium; iii) a necessary and
sufficient condition for the healthy state to be the unique equilibrium; and
iv) for the bi-virus setting (i.e., two competing viruses), a sufficient
condition and a necessary condition for the existence of a coexisting
equilibrium. Building on these analytical results, we provide two mitigation
strategies: a technique that guarantees convergence to the healthy state; and,
in a bi-virus setup, a scheme that employs one virus to ensure that the other
virus is eradicated. The results are illustrated in a numerical study of a
spread scenario in Stockholm city.

12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph