Epidemic spreading and bond percolation in multilayer networks
arXiv:1611.08750 · doi:10.1088/1742-5468/aa5fd8
Abstract
The Susceptible-Infected-Recovered (SIR) model is studied in multilayer networks with arbitrary number of links across the layers. By following the mapping to bond percolation we give the analytical expression for the epidemic threshold and the fraction of the infected individuals in arbitrary number of layers. These results provide an exact prediction of the epidemic threshold for infinite locally tree-like multilayer networks, and an lower bound of the epidemic threshold for more general multilayer networks. The case of a multilayer network formed by two interconnected networks is specifically studied as a function of the degree distribution within and across the layers. We show that the epidemic threshold strongly depends on the degree correlations of the multilayer structure. Finally we relate our results to the results obtained in the annealed approximation for the Susceptible-Infected-Susceptible (SIS) model.
8 pages, 2 figures
References in corpus (15)
- The structure and dynamics of multilayer networks
- Critical phenomena in complex networks
- Diffusion dynamics on multiplex networks
- Emergence of network features from multiplexity
- A message passing approach for general epidemic models
- Percolation on sparse networks
- Avoiding catastrophic failure in correlated networks of networks
- Percolation in real interdependent networks
- Analytical computation of the epidemic threshold on temporal networks
- Analysis of complex contagions in random multiplex networks
- Redundant interdependencies boost the robustness of multilayer networks
- Percolation on interacting networks
- Tight lower bound for percolation threshold on a quasi-regular graph
- Immunization strategy for epidemic spreading on multilayer networks
- Percolation in real multiplex networks