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Epidemic Threshold in Continuous-Time Evolving Networks

Eugenio Valdano, Michele Re Fiorentin, Chiara Poletto, and Vittoria Colizza
Phys. Rev. Lett. 120, 068302 – Published 6 February 2018

Abstract

Current understanding of the critical outbreak condition on temporal networks relies on approximations (time scale separation, discretization) that may bias the results. We propose a theoretical framework to compute the epidemic threshold in continuous time through the infection propagator approach. We introduce the weak commutation condition allowing the interpretation of annealed networks, activity-driven networks, and time scale separation into one formalism. Our work provides a coherent connection between discrete and continuous time representations applicable to realistic scenarios.

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  • Received 7 June 2017
  • Revised 20 November 2017

DOI:https://doi.org/10.1103/PhysRevLett.120.068302

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Networks

Authors & Affiliations

Eugenio Valdano1,*, Michele Re Fiorentin2, Chiara Poletto1, and Vittoria Colizza1,3,†

  • 1INSERM, Sorbonne Université, Institut Pierre Louis d’Epidémiologie et de Santé Publique IPLESP, F75012 Paris, France
  • 2Center for Sustainable Future Technologies, CSFT@PoliTo, Istituto Italiano di Tecnologia, corso Trento 21, 10129 Torino, Italy
  • 3ISI Foundation, 10126 Torino, Italy

  • *Present address: Department d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain.
  • Corresponding author. vittoria.colizza@inserm.fr; http://www.epicx-lab.com

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Issue

Vol. 120, Iss. 6 — 9 February 2018

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