Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How Efficient is Contact Tracing in Mitigating the Spread of Covid-19? A
  Mathematical Modeling Approach   Contact Tracing (CT) is one of the measures taken by government and health
officials to mitigate the spread of the novel coronavirus. In this paper, we
investigate its efficacy by developing a compartmental model for assessing its
impact on mitigating the spread of the virus. We describe the impact on the
reproduction number ${\mathcal{R}_0}$ of COVID-19. In particular, we discuss
the importance and relevance of parameters of the model such as the number of
reported cases, effectiveness of tracking and monitoring policy, and the
transmission rates to contact tracing. We describe the terms "perfect
tracking", "perfect monitoring" and "perfect reporting" to indicate that traced
contacts will be tracked while incubating, tracked contacts are efficiently
monitored so that they do not cause secondary infections, and all infected
persons are reported, respectively. We consider three special scenarios: (1)
perfect monitoring and perfect tracking of contacts of a reported case, (2)
perfect reporting of cases and perfect monitoring of tracked reported cases and
(3) perfect reporting and perfect tracking of contacts of reported cases.
Furthermore, we gave a lower bound on the proportion of contacts to be traced
to ensure that the effective reproduction, ${\mathcal{R}_c}$, is below one and
describe ${\mathcal{R}_c}$ in terms of observable quantities such as the
proportion of reported and traced cases. Model simulations using the COVID-19
data obtained from John Hopkins University for some selected states in the US
suggest that even late intervention of CT may reasonably reduce the
transmission of COVID-19 and reduce peak hospitalizations and deaths.

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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph