Critical behavior of the contact process in a multiscale network
arXiv:1101.1165 · doi:10.1103/PhysRevE.76.036112
Abstract
Inspired by dengue and yellow fever epidemics, we investigated the contact process (CP) in a multiscale network constituted by one-dimensional chains connected through a Barabási-Albert scale-free network. In addition to the CP dynamics inside the chains, the exchange of individuals between connected chains (travels) occurs at a constant rate. A finite epidemic threshold and an epidemic mean lifetime diverging exponentially in the subcritical phase, concomitantly with a power law divergence of the outbreak's duration, were found. A generalized scaling function involving both regular and SF components was proposed for the quasistationary analysis and the associated critical exponents determined, demonstrating that the CP on this hybrid network and nonvanishing travel rates establishes a new universality class.
References in corpus (13)
- Statistical mechanics of complex networks
- Epidemic spreading in scale-free networks
- The worldwide air transportation network: Anomalous centrality, community structure, and cities' global roles
- Epidemic dynamics and endemic states in complex networks
- The Web of Human Sexual Contacts
- Epidemics and percolation in small-world networks
- Velocity and hierarchical spread of epidemic outbreaks in scale-free networks
- The spatial structure of networks
- Cut-offs and finite size effects in scale-free networks
- Cycles and clustering in bipartite networks
- Percolation and Epidemic Thresholds in Clustered Networks
- The Fractal Properties of Internet
- Non mean-field behavior of the contact process on scale-free networks