Contagion dynamics in time-varying metapopulation networks

Abstract

The metapopulation framework is adopted in a wide array of disciplines to describe systems of well separated yet connected subpopulations. The subgroups or patches are often represented as nodes in a network whose links represent the migration routes among them. The connections have been so far mostly considered as static, but in general evolve in time. Here we address this case by investigating simple contagion processes on time-varying metapopulation networks. We focus on the SIR process and determine analytically the mobility threshold for the onset of an epidemic spreading in the framework of activity-driven network models. We find profound differences from the case of static networks. The threshold is entirely described by the dynamical parameters defining the average number of instantaneously migrating individuals and does not depend on the properties of the static network representation. Remarkably, the diffusion and contagion processes are slower in time-varying graphs than in their aggregated static counterparts, the mobility threshold being even two orders of magnitude larger in the first case. The presented results confirm the importance of considering the time-varying nature of complex networks.

11 pages, 5 figures

References in corpus (25)

• Epidemic spreading in scale-free networks
• Temporal Networks
• Structure and tie strengths in mobile communication networks
• Multiscale mobility networks and the large scale spreading of infectious diseases
• Reaction-diffusion processes and metapopulation models in heterogeneous networks
• Dynamics of person-to-person interactions from distributed RFID sensor networks
• What's in a crowd? Analysis of face-to-face behavioral networks
• High resolution dynamical mapping of social interactions with active RFID
• Activity driven modeling of time varying networks
• Small But Slow World: How Network Topology and Burstiness Slow Down Spreading
• Simulation of an SEIR infectious disease model on the dynamic contact network of conference attendees
• Path lengths, correlations, and centrality in temporal networks
• Invasion threshold in heterogeneous metapopulation networks
• The dynamical strength of social ties in information spreading
• Small-world behavior in time-varying graphs
• Dynamical Patterns of Cattle Trade Movements
• Network reachability of real-world contact sequences
• Random walks and search in time-varying networks
• Synchronization in networks of mobile oscillators
• Microdynamics in stationary complex networks
• Polynomial growth in age-dependent branching processes with diverging reproductive number
• Mean-field diffusive dynamics on weighted networks
• Dynamic networks and directed percolation
• Consensus in networks of mobile communicating agents
• Bosonic reaction-diffusion processes on scale-free networks

Cited by in corpus (25)

• Statistical physics of vaccination
• Modern temporal network theory: A colloquium
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• Epidemiologically optimal static networks from temporal network data
• The basic reproduction number as a predictor for epidemic outbreaks in temporal networks
• Epidemic Spreading on Activity-Driven Networks with Attractiveness
• Asymptotic theory for the dynamic of networks with heterogenous social capital allocation
• Birth and death of links control disease spreading in empirical contact networks
• Contrasting Effects of Strong Ties on SIR and SIS Processes in Temporal Networks
• Random walks on activity-driven networks with attractiveness
• Emergence of metapopulations and echo chambers in mobile agents
• Social contagions on time-varying community networks
• Epidemic spreading on time-varying multiplex networks
• Burstiness and tie reinforcement in time varying social networks
• Contagion processes on the static and activity driven coupling networks
• Universal Components of Real-world Diffusion Dynamics based on Point Processes
• Atypical viral dynamics from transport through popular places
• Directed Percolation in Random Temporal Network Models with Heterogeneities
• Temporal prediction of epidemic patterns in community networks
• The spreading of computer viruses on time-varying networks
• Imperfect spreading on temporal networks
• Anomalous Contagion and Renormalization in Dynamical Networks with Nodal Mobility
• Diffusion in Colocation Contact Networks: the Impact of Nodal Spatiotemporal Dynamics
• Metapopulation epidemic models with heterogeneous mixing and travel behaviour