Epidemic spreading in lattice-embedded scale-free networks

2006/04/30 by Xin-Jian Xu, Xin‐Jian Xu, Zhi-Xi Wu +1
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Opinion Dynamics and Social Influence #Stochastic processes and statistical mechanics #physics.soc-ph

paper · pdf · doi:10.1016/j.physa.2006.11.023

published as Physica A 377, 125 (2007)

openalex publication_date 2006/12/02 · arxiv created 2007/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study geographical effects on the spread of diseases in lattice-embedded scale-free networks. The geographical structure is represented by the connecting probability of two nodes that is related to the Euclidean distance between them in the lattice. By studying the standard Susceptible-Infected model, we found that the geographical structure has great influences on the temporal behavior of epidemic outbreaks and the propagation in the underlying network: the more geographically constrained the network is, the more smoothly the epidemic spreads.

Citations

• Velocity and Hierarchical Spread of Epidemic Outbreaks in Scale-Free Networks
• Emergence of Scaling in Random Networks
• Efficient Immunization Strategies for Computer Networks and Populations
• Epidemic variability in complex networks
• Geographical embedding of scale-free networks
• Statistical mechanics of complex networks
• Evolution of networks
• The structure and function of complex networks