Multidimensional epidemic thresholds in diffusion processes over interdependent networks

Mostafa Salehi, Payam Siyari, Matteo Magnani, Danilo Montesi
2015 Chaos, Solitons & Fractals  
Several systems can be modeled as sets of interdependent networks where each network contains distinct nodes. Diffusion processes like the spreading of a disease or the propagation of information constitute fundamental phenomena occurring over such coupled networks. In this paper we propose a new concept of multidimensional epidemic threshold characterizing diffusion processes over interdependent networks, allowing different diffusion rates on the different networks and arbitrary degree
more » ... tions. We analytically derive and numerically illustrate the conditions for multilayer epidemics, i.e., the appearance of a giant connected component spanning all the networks. Furthermore, we study the evolution of infection density and diffusion dynamics with extensive simulation experiments on synthetic and real networks.
doi:10.1016/j.chaos.2014.12.018 fatcat:2qmzd6kpxrg57a45ch5x2opecm