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Journal Articles Physical Review Letters Year : 2018

Epidemic Threshold in Continuous-Time Evolving Networks

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.

Dates and versions

hal-03863433 , version 1 (21-11-2022)

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Cite

Eugenio Valdano, Michele Re Fiorentin, Chiara Poletto, Vittoria Colizza. Epidemic Threshold in Continuous-Time Evolving Networks. Physical Review Letters, 2018, 120 (6), pp.068302. ⟨10.1103/PhysRevLett.120.068302⟩. ⟨hal-03863433⟩
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