The role of clustering and gridlike ordering in epidemic spreading

Abstract

The spreading of an epidemic is determined by the connectiviy patterns which underlie the population. While it has been noted that a virus spreads more easily on a network in which global distances are small, it remains a great challenge to find approaches that unravel the precise role of local interconnectedness. Such topological properties enter very naturally in the framework of our two-timestep description, also providing a novel approach to tract a probabilistic system. The method is elaborated for SIS-type epidemic processes, leading to a quantitative interpretation of the role of loops up to length 4 in the onset of an epidemic.

arXiv commentSubmitted to Phys. Rev. E; 15 pages, 11 figures, 5 tables

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• Vital nodes identification in complex networks
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• Evolving Clustered Random Networks
• Cyclic Topology in Complex Networks
• A Dynamic Model of Cascades on Random Networks with a Threshold Rule
• The inhomogeneous evolution of subgraphs and cycles in complex networks
• Effects of local and global network connectivity on synergistic epidemics
• Network clustering and community detection using modulus of families of loops
• Variational approximations for stationary states of Ising-like models
• A simple analytical description of the non-stationary dynamics in Ising spin systems
• Cluster approximations for the TASEP: stationary state and dynamical transition
• sGrapp: Butterfly Approximation in Streaming Graphs