Percolation and the pandemic

Robert M. Ziff

Physica A: Statistical Mechanics and its Applications, 2021, vol. 568, issue C

Abstract: This paper is dedicated to the memory of Dietrich Stauffer, who was a pioneer in percolation theory and applications of it to problems of society, such as epidemiology. An epidemic is a percolation process gone out of control, that is, going beyond the critical transition threshold pc. Here we discuss how the threshold is related to the basic infectivity of neighbors R0, for trees (Bethe lattice), trees with triangular cliques, and in non-planar lattice percolation with extended-range connectivity. It is shown how having a smaller range of contacts increases the critical value of R0 above the value R0,c=1 appropriate for a tree, an infinite-range system, or a large completely connected graph.

Date: 2021
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:568:y:2021:i:c:s0378437120310219

DOI: 10.1016/j.physa.2020.125723

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