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arXiv · 1706.05968

Epidemic Threshold in Continuous-Time Evolving Networks

Eugenio Valdano·Michele Re Fiorentin·Chiara Poletto·Vittoria Colizza
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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 {\em 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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Eugenio Valdano, Michele Re Fiorentin, Chiara Poletto, Vittoria Colizza. 2017-06-19. Epidemic Threshold in Continuous-Time Evolving Networks. https://doi.org/10.1103/physrevlett.120.068302

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