Epidemic Spreading on Activity-Driven Networks with Attractiveness

Abstract

We study SIS epidemic spreading processes unfolding on a recent generalisation of the activity-driven modelling framework. In this model of time-varying networks each node is described by two variables: activity and attractiveness. The first, describes the propensity to form connections. The second, defines the propensity to attract them. We derive analytically the epidemic threshold considering the timescale driving the evolution of contacts and the contagion as comparable. The solutions are general and hold for any joint distribution of activity and attractiveness. The theoretical picture is confirmed via large-scale numerical simulations performed considering heterogeneous distributions and different correlations between the two variables. We find that heterogeneous distributions of attractiveness alter the contagion process. In particular, in case of uncorrelated and positive correlations between the two variables, heterogeneous attractiveness facilitates the spreading. On the contrary, negative correlations between activity and attractiveness hamper the spreading. The results presented contribute to the understanding of the dynamical properties of time-varying networks and their effects on contagion phenomena unfolding on their fabric.

References in corpus (52)

• The structure and function of complex networks
• Epidemic processes in complex networks
• Temporal Networks
• The origin of bursts and heavy tails in human dynamics
• Epidemic dynamics and endemic states in complex networks
• Statistical physics of vaccination
• What's in a crowd? Analysis of face-to-face behavioral networks
• Activity driven modeling of time varying networks
• Epidemic dynamics in finite size scale-free networks
• Small But Slow World: How Network Topology and Burstiness Slow Down Spreading
• Random walks and diffusion on networks
• Modern temporal network theory: A colloquium
• Estimating Potential Infection Transmission Routes in Hospital Wards Using Wearable Proximity Sensors
• Simulation of an SEIR infectious disease model on the dynamic contact network of conference attendees
• Fundamental structures of dynamic social networks
• Time varying networks and the weakness of strong ties
• Contact patterns among high school students
• The dynamical strength of social ties in information spreading
• Nature of the epidemic threshold for the susceptible-infected-susceptible dynamics in networks
• Dynamical Patterns of Cattle Trade Movements
• Controlling Contagion Processes in Time-Varying Networks
• Random walks and search in time-varying networks
• Analytical computation of the epidemic threshold on temporal networks
• Synchronization in networks of mobile oscillators
• Quantifying the effect of temporal resolution on time-varying networks
• Circadian pattern and burstiness in mobile phone communication
• Modeling human dynamics of face-to-face interaction networks
• Betweenness Preference: Quantifying Correlations in the Topological Dynamics of Temporal Networks
• Bursty communication patterns facilitate spreading in a threshold-based epidemic dynamics
• Proximity Networks and Epidemics
• Burstiness and aging in social temporal networks
• Generalized Master Equations for Non-Poisson Dynamics on Networks
• The effects of network structure, competition and memory time on social spreading phenomena
• Contagion dynamics in time-varying metapopulation networks
• The basic reproduction number as a predictor for epidemic outbreaks in temporal networks
• Asymptotic theory for the dynamic of networks with heterogenous social capital allocation
• Multiscale Analysis of Spreading in a Large Communication Network
• Birth and death of links control disease spreading in empirical contact networks
• Topological properties of a time-integrated activity driven network
• Dynamic networks and directed percolation
• Temporal percolation in activity driven networks
• Contrasting Effects of Strong Ties on SIR and SIS Processes in Temporal Networks
• From calls to communities: a model for time varying social networks
• Random walks on activity-driven networks with attractiveness
• Network dynamics of ongoing social relationships
• On the Dynamics of Human Proximity for Data Diffusion in Ad-Hoc Networks
• Consensus in networks of mobile communicating agents
• The role of endogenous and exogenous mechanisms in the formation of R&D networks
• Social contagions on time-varying community networks
• Importance of individual events in temporal networks
• Attractiveness and activity in Internet communities
• Burstiness and tie reinforcement in time varying social networks

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• Stochastic sampling effects favor manual over digital contact tracing
• The structural evolution of temporal hypergraphs through the lens of hyper-cores
• The nature of epidemic criticality in temporal networks
• Dynamic Hidden-Variable Network Models
• Modelling of temporal fluctuation scaling in online news network with independent cascade model
• Temporal patterns of reciprocity in communication networks
• Preserving system activity while controlling epidemic spreading in adaptive temporal networks
• A survey on modelling of infectious disease spread and control on social contact networks
• Evolving nature of human contact networks with its impact on epidemic processes
• Dynamics of cold random hyperbolic graphs with link persistence
• $({\omega }_1,{\omega }_2)$-temporal random hyperbolic graphs
• Spatiotemporal Activity-Driven Networks
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