Rescue of endemic states in interconnected networks with adaptive coupling

Abstract

We study the Susceptible-Infected-Susceptible model of epidemic spreading on two layers of networks interconnected by adaptive links, which are rewired at random to avoid contacts between infected and susceptible nodes at the interlayer. We find that the rewiring reduces the effective connectivity for the transmission of the disease between layers, and may even totally decouple the networks. Weak endemic states, in which the epidemics spreads only if the two layers are interconnected, show a transition from the endemic to the healthy phase when the rewiring overcomes a threshold value that depends on the infection rate, the strength of the coupling and the mean connectivity of the networks. In the strong endemic scenario, in which the epidemics is able to spread on each separate network, the prevalence in each layer decreases when increasing the rewiring, arriving to single network values only in the limit of infinitely fast rewiring. We also find that finite-size effects are amplified by the rewiring, as there is a finite probability that the epidemics stays confined in only one network during its lifetime.

arXiv comment15 pages, 11 figures

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• Interacting opinion and disease dynamics in multiplex networks: discontinuous phase transition and non-monotonic consensus times
• Multilayer coevolution dynamics of the nonlinear voter model
• Coevolving nonlinear voter model with triadic closure
• Emergence of complex structures from nonlinear interactions and noise in coevolving networks
• Interacting social processes on interconnected networks
• Control of epidemics via social partnership adjustment
• Dynamical leaps due to microscopic changes in multiplex networks