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 {\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.

13 pages, 2 figures

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• Extending Transition Path Theory: Periodically-Driven and Finite-Time Dynamics
• Markovian approach to tackle the interaction of simultaneous diseases
• Containing misinformation spreading in temporal social networks
• Burstiness in activity-driven networks and the epidemic threshold
• Bursty Switching Dynamics Promotes the Collapse of Network Topologies
• Multilayer modeling of adoption dynamics in energy demand management
• Simple quasistationary method for simulations of epidemic processes with localized states
• Transition from time-variant to static networks: timescale separation in NIMFA SIS epidemics
• A Parrondo paradox in susceptible-infectious-susceptible dynamics over periodic temporal networks
• Structural and temporal heterogeneities on networks
• Impact of temporal connectivity patterns on epidemic process
• Compressing the chronology of a temporal network with graph commutators
• Epidemic Thresholds of Infectious Diseases on Tie-Decay Networks
• Temporal Network Sampling
• Exact rank-reduction of network models
• Impacts of bridging nodes on the epidemic activation mechanisms