Epidemic spreading on time-varying multiplex networks
arXiv:1808.03782 · doi:10.1103/PhysRevE.98.062303
Abstract
Social interactions are stratified in multiple contexts and are subject to complex temporal dynamics. The systematic study of these two features of social systems has started only very recently mainly thanks to the development of multiplex and time-varying networks. However, these two advancements have progressed almost in parallel with very little overlap. Thus, the interplay between multiplexity and the temporal nature of connectivity patterns is poorly understood. Here, we aim to tackle this limitation by introducing a time-varying model of multiplex networks. We are interested in characterizing how these two properties affect contagion processes. To this end, we study SIS epidemic models unfolding at comparable time-scale respect to the evolution of the multiplex network. We study both analytically and numerically the epidemic threshold as a function of the overlap between, and the features of, each layer. We found that, the overlap between layers significantly reduces the epidemic threshold especially when the temporal activation patterns of overlapping nodes are positively correlated. Furthermore, when the average connectivity across layers is very different, the contagion dynamics are driven by the features of the more densely connected layer. Here, the epidemic threshold is equivalent to that of a single layered graph and the impact of the disease, in the layer driving the contagion, is independent of the overlap. However, this is not the case in the other layers where the spreading dynamics are sharply influenced by it. The results presented provide another step towards the characterization of the properties of real networks and their effects on contagion phenomena
References in corpus (56)
- Epidemic processes in complex networks
- Multilayer Networks
- The structure and dynamics of multilayer networks
- Temporal Networks
- Dynamical interplay between awareness and epidemic spreading in multiplex networks
- Diffusion dynamics on multiplex networks
- Mathematical Formulation of Multi-Layer Networks
- Statistical physics of vaccination
- What's in a crowd? Analysis of face-to-face behavioral networks
- Structural measures for multiplex networks
- Activity driven modeling of time varying networks
- The physics of spreading processes in multilayer networks
- Modern temporal network theory: A colloquium
- The persistence of social signatures in human communication
- Fundamental structures of dynamic social networks
- Time varying networks and the weakness of strong ties
- Causality-Driven Slow-Down and Speed-Up of Diffusion in Non-Markovian Temporal Networks
- The dynamical strength of social ties in information spreading
- Nature of the epidemic threshold for the susceptible-infected-susceptible dynamics in networks
- Contact-based Social Contagion in Multiplex Networks
- Measuring and modelling correlations in multiplex networks
- Spreading processes in Multilayer Networks
- Controlling Contagion Processes in Time-Varying Networks
- Random walks and search in time-varying networks
- Analytical computation of the epidemic threshold on temporal networks
- Quantifying the effect of temporal resolution on time-varying networks
- Epidemics in partially overlapped multiplex networks
- Temporal Heterogeneities Increase the Prevalence of Epidemics on Evolving Networks
- Betweenness Preference: Quantifying Correlations in the Topological Dynamics of Temporal Networks
- Persistence and periodicity in a dynamic proximity network
- Multiple routes transmitted epidemics on multiplex networks
- Optimal percolation on multiplex networks
- Bursty communication patterns facilitate spreading in a threshold-based epidemic dynamics
- Immunization strategies for epidemic processes in time-varying contact networks
- Epidemic spreading and risk perception in multiplex networks: a self-organized percolation method
- From seconds to months: multi-scale dynamics of mobile telephone calls
- Contagion dynamics in time-varying metapopulation networks
- The basic reproduction number as a predictor for epidemic outbreaks in temporal networks
- Spatio-temporal networks: reachability, centrality and robustness
- Asymptotic theory for the dynamic of networks with heterogenous social capital allocation
- Birth and death of links control disease spreading in empirical contact networks
- Topological properties of a time-integrated activity driven network
- Random walk centrality for temporal networks
- Contrasting Effects of Strong Ties on SIR and SIS Processes in Temporal Networks
- Epidemic spreading and bond percolation in multilayer networks
- From calls to communities: a model for time varying social networks
- Random walks on activity-driven networks with attractiveness
- Several Multiplexes in the same City: The role of wealth differences in urban mobility
- The role of endogenous and exogenous mechanisms in the formation of R&D networks
- Committed activists and the reshaping of status-quo social consensus
- Importance of individual events in temporal networks
- Attractiveness and activity in Internet communities
- Clustering determines the dynamics of complex contagions in multiplex networks
- Burstiness and tie reinforcement in time varying social networks
- Effects of temporal correlations in social multiplex networks
- A unified approach to percolation processes on multiplex networks