Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recursive contact tracing in Reed-Frost epidemic models   We introduce a Reed-Frost epidemic model with recursive contact tracing and
asymptomatic transmission. This generalizes the branching-process model
introduced by the authors in a previous work [arxiv:2004.07237] to finite
populations and general contact networks. We simulate the model numerically for
two representative examples, the complete graph and the square lattice. On both
networks, we observe clear signatures of a contact-tracing phase transition
from an "epidemic phase" to an "immune phase" as contact-network coverage is
increased. We verify that away from the singular line of perfect tracing, the
finite-size scaling of the contact-tracing phase transition on each network
lies in the corresponding percolation universality class. Finally, we use the
model to quantify the efficacy of recursive contact-tracing in regimes where
epidemic spread is not contained.

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The categories of this paper are: math
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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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: cs
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg