Author: Vir Bannerjee Bulchandani; Saumya Shivam; Sanjay Moudgalya; S L Sondhi
Title: Digital Herd Immunity and COVID-19 Document date: 2020_4_18
ID: k8xuv5xy_31
Snippet: where P(j = β|i = α) denotes the probability that node j is infectious and in state β at time t = 1, given that the node i was in state α at time t = 0, and we make a "meanfield" approximation whereby only two-node processes are taken into account. The latter clearly breaks down when recursive contact tracing is taken into account, a point that we shall return to below. In terms of these probabilities p α and the basic reproduction numbers f.....
Document: where P(j = β|i = α) denotes the probability that node j is infectious and in state β at time t = 1, given that the node i was in state α at time t = 0, and we make a "meanfield" approximation whereby only two-node processes are taken into account. The latter clearly breaks down when recursive contact tracing is taken into account, a point that we shall return to below. In terms of these probabilities p α and the basic reproduction numbers for the various states R α , the effective reproduction number in our mean-field approximation is given by
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