title: Infections on Temporal Networks--A Matrix-Based Approach.
abstract: We extend the concept of accessibility in temporal networks to model infections with a finite infectious period such as the susceptible-infected-recovered (SIR) model. This approach is entirely based on elementary matrix operations and unifies the disease and network dynamics within one algebraic framework. We demonstrate the potential of this formalism for three examples of networks with high temporal resolution: networks of social contacts, sexual contacts, and livestock-trade. Our investigations provide a new methodological framework that can be used, for instance, to estimate the epidemic threshold, a quantity that determines disease parameters, for which a large-scale outbreak can be expected.
authors.affiliation: Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.
authors.forename: Andreas
authors.initials: A
authors.lastname: Koher
authors.affiliation: Institute of Epidemiology, Friedrich-Loeffler-Institute, Südufer 10, 17493 Greifswald, Germany.
authors.forename: Hartmut H K
authors.initials: HH
authors.lastname: Lentz
authors.affiliation: Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.|Bernstein Center for Computational Neuroscience Berlin, Humboldt Universität zu Berlin, Philippstraße 13, 10115 Berlin, Germany.
authors.forename: Philipp
authors.initials: P
authors.lastname: Hövel
authors.affiliation: Institut für Physik, Humboldt-Universität zu Berlin, Newtonstraße 15, 12489 Berlin, Germany.
authors.forename: Igor M
authors.initials: IM
authors.lastname: Sokolov
mesh_terms: D000465:Algorithms; D000818:Animals; D003141:Communicable Diseases / Q000453:epidemiology* / Q000635:transmission; D019058:Community Networks; D003198:Computer Simulation; D004196:Disease Outbreaks; D006801:Humans; D058751:Livestock; D008954:Models, Biological; D012747:Sexual Partners