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Title

Temporal interactions facilitate endemicity in the susceptible-infected-susceptible epidemic model

AuthorsSpeidel, Leo; Klemm, Konstantin ; Eguíluz, Víctor M. ; Masuda, Naoki
KeywordsTemporal networks
SIS model
Epidemic threshold
Issue Date6-Jul-2016
PublisherInstitute of Physics Publishing
CitationNew Journal of Physics 18: 073013 (2016)
AbstractData of physical contacts and face-to-face communications suggest temporally varying networks as the media on which infections take place among humans and animals. Epidemic processes on temporal networks are complicated by complexity of both network structure and temporal dimensions. Theoretical approaches are much needed for identifying key factors that affect dynamics of epidemics. In particular, what factors make some temporal networks stronger media of infection than other temporal networks is under debate. We develop a theory to understand the susceptible-infected-susceptible epidemic model on arbitrary temporal networks, where each contact is used for a finite duration. We show that temporality of networks lessens the epidemic threshold such that infections persist more easily in temporal networks than in their static counterparts. We further show that the Lie commutator bracket of the adjacency matrices at different times is a key determinant of the epidemic threshold in temporal networks. The effect of temporality on the epidemic threshold, which depends on a data set, is approximately predicted by the magnitude of a commutator norm.
Publisher version (URL)http://doi.org/10.1088/1367-2630/18/7/073013
URIhttp://hdl.handle.net/10261/157694
DOI10.1088/1367-2630/18/7/073013
ISSN1367-2630
Appears in Collections:(IFISC) Artículos
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