Epidemic Threshold in Continuous-Time Evolving Networks

Physical Review Letters
Eugenio ValdanoVittoria Colizza

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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Citations

Jun 20, 2019·Journal of the Royal Society, Interface·Vítor V VasconcelosFlávio L Pinheiro
Feb 20, 2020·Physical Review. E·Chao-Ran Cai, Zhi-Xi Wu
Jan 3, 2020·Chaos·Wei WangLidia A Braunstein
Feb 6, 2020·Chaos·Iacopo IacopiniVito Latora
Sep 19, 2020·Physical Review. E·Marco MancastroppaAlessandro Vezzani
Jan 23, 2020·Physical Review. E·D Soriano-PañosJ Gómez-Gardeñes

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