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Asymmetrically interacting spreading dynamics on complex layered networks (1405.1905v1)

Published 8 May 2014 in physics.soc-ph and cs.SI

Abstract: The spread of disease through a physical-contact network and the spread of information about the disease on a communication network are two intimately related dynamical processes. We investigate the asymmetrical interplay between the two types of spreading dynamics, each occurring on its own layer, by focusing on the two fundamental quantities underlying any spreading process: epidemic threshold and the final infection ratio. We find that an epidemic outbreak on the contact layer can induce an outbreak on the communication layer, and information spreading can effectively raise the epidemic threshold. When structural correlation exists between the two layers, the information threshold remains unchanged but the epidemic threshold can be enhanced, making the contact layer more resilient to epidemic outbreak. We develop a physical theory to understand the intricate interplay between the two types of spreading dynamics.

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Summary

  • The paper demonstrates that an epidemic outbreak on the contact layer triggers an information outbreak on the communication layer, thereby raising the epidemic threshold.
  • It employs heterogeneous mean-field theory and simulation tests to show that rapid information diffusion significantly enhances network resilience.
  • The results imply that targeted information dissemination, particularly to high-centrality nodes, can effectively curb the spread of epidemics.

Asymmetrically Interacting Spreading Dynamics on Complex Layered Networks

This paper investigates the dynamics of two critical types of spreading processes — epidemic and information diffusion — on complex layered networks, and analyzes their asymmetrical interaction. The research focuses on two principal metrics: the epidemic threshold and the final infection ratio. The framework models the physical contact network for disease spread and the communication network for information dissemination as two distinct layers within a multiplex network.

Key Findings and Analysis

The paper identifies that an epidemic outbreak on a contact layer can simultaneously trigger an information outbreak on the communication layer. This is significant as it indicates that strategic dissemination of information can potentially raise the epidemic threshold, hence making the contact layer more resistant to an outbreak. This effect is more pronounced when there is structural correlation between the communication and contact layers. Interestingly, while the epidemic threshold is enhanced with layered correlations, the information threshold remains unchanged.

A physical theory is constructed to describe the interplay between the two types of spreading dynamics. Two contrasting mechanisms initiate an information outbreak: the intrinsic spreading within the communication layer or the spillover from an epidemic outbreak on the contact layer. Notably, if the intrinsic epidemic spreading model alone suffices to cause an outbreak, the information threshold is effectively zero. Conversely, if information propagates adequately within its layer, it serves as a barrier, restraining the epidemic from spreading by transforming nodes into non-susceptible states through vaccination.

The paper employs heterogeneous mean-field theory to derive the thresholds for both information and epidemic processes on uncorrelated double-layer networks. The authors observe that when information spreading is rapid compared to an epidemic, it significantly alters the network's resilience by enlarging the epidemic threshold. Simulation tests confirm these theoretical predictions and show good alignment with simulated outcomes over various network sizes and structural parameters.

Practical and Theoretical Implications

The implications of this work are profound in epidemiology and network science. On a practical level, the insights can inform public health strategies on leveraging communication networks to disseminate preventive information, potentially curbing an epidemic's reach. Theoretically, this paper advances our understanding of multiplex network dynamics, particularly the nuanced interdependencies that can arise within layered structures.

Inter-layer correlation plays a crucial role in the dynamics. When such correlation is high, nodes with large degrees are likely to be informed faster during an outbreak, enhancing vaccination rates and thereby diminishing the potential for an epidemic. This supports targeting high-centrality nodes in communication campaigns during an impending epidemic.

Future Directions

Future work should consider more complex scenarios involving time-varying network connections, more realistic models integrating human behavioral responses, and the impact of misinformation or competing information. Further studies on the interplay between different types of networks or policies that can affect multiple types of spreading processes concurrently can provide deeper insights into managing real-world contagions on complex networks. The paper opens pathways for incorporating behavioral and information-centric approaches into traditional epidemic models, providing a richer toolkit for tackling emerging challenges in public health.

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