On the numerical study of percolation and epidemic critical properties in networks

Abstract

The static properties of the fundamental model for epidemics of diseases allowing immunity (susceptible-infected-removed model) are known to be derivable by an exact mapping to bond percolation. Yet when performing numerical simulations of these dynamics in a network a number of subtleties must be taken into account in order to correctly estimate the transition point and the associated critical properties. We expose these subtleties and identify the different quantities which play the role of criticality detector in the two dynamics.

arXiv comment12 pages, 14 figures. The final publication is available at Springer via http://dx.doi.org/10.1140/epjb/e2016-60953-5

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Cited by in corpus (9)

• Effect of risk perception on epidemic spreading in temporal networks
• The localization of non-backtracking centrality in networks and its physical consequences
• Fundamental difference between superblockers and superspreaders in networks
• Effects of heterogeneous social interactions on flocking dynamics
• Topological structure and the H-index in complex networks
• Rapid decay in the relative efficiency of quarantine to halt epidemics in networks
• Scalar model of flocking dynamics on complex social networks
• Scaling and universality for percolation in random networks: A unified view
• Flocking dynamics mediated by weighted social networks