Suppressing epidemic spreading in multiplex networks with social-support

Abstract

Although suppressing the spread of a disease is usually achieved by investing in public resources, in the real world only a small percentage of the population have access to government assistance when there is an outbreak, and most must rely on resources from family or friends. We study the dynamics of disease spreading in social-contact multiplex networks when the recovery of infected nodes depends on resources from healthy neighbors in the social layer. We investigate how degree heterogeneity affects the spreading dynamics. Using theoretical analysis and simulations we find that degree heterogeneity promotes disease spreading. The phase transition of the infected density is hybrid and increases smoothly from zero to a finite small value at the first invasion threshold and then suddenly jumps at the second invasion threshold. We also find a hysteresis loop in the transition of the infected density. We further investigate how an overlap in the edges between two layers affects the spreading dynamics. We find that when the amount of overlap is smaller than a critical value the phase transition is hybrid and there is a hysteresis loop, otherwise the phase transition is continuous and the hysteresis loop vanishes. In addition, the edge overlap allows an epidemic outbreak when the transmission rate is below the first invasion threshold, but suppresses any explosive transition when the transmission rate is above the first invasion threshold.

22 pages, 9 figures

References in corpus (9)

• Diffusion dynamics on multiplex networks
• The Matthew effect in empirical data
• Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
• A message passing approach for general epidemic models
• Unification of theoretical approaches for epidemic spreading on complex networks
• Epidemic thresholds of the Susceptible-Infected-Susceptible model on networks: A comparison of numerical and theoretical results
• Impact of Single Links in Competitive Percolation -- How complex networks grow under competition
• Self-organized adaptation of a simple neural circuit enables complex robot behaviour
• Explosive percolation via control of the largest cluster

Cited by in corpus (9)

• Coevolution spreading in complex networks
• Epidemic spreading with awareness and different timescales in multiplex networks
• Optimal resource diffusion for suppressing disease spreading in multiplex networks
• Comprehensive routing strategy on multilayer networks
• Effective Influence Spreading in Temporal Networks with Sequential Seeding
• The optimal edge for containing the spreading of SIS model
• Patterns of Multiplex Layer Entanglement across Real and Synthetic Networks
• The effect of role-based resource allocation on epidemic dynamics
• How hate spreads online and why it returns: Re-entrant phases driven by collective behavior