PMID: 15244676Jul 13, 2004Paper

Role of clustering and gridlike ordering in epidemic spreading

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Thomas Petermann, Paolo De Los Rios

Abstract

The spreading of an epidemic is determined by the connectivity 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-time-step description, also providing an approach to track 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.

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Citations

Dec 7, 2006·Bulletin of Mathematical Biology·David Hiebeler
Jul 21, 2007·Journal of the Royal Society, Interface·Shweta BansalLauren Ancel Meyers
Apr 29, 2011·Proceedings. Biological Sciences·Gregory M AmesColleen T Webb
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Jan 1, 2018·Applied Network Science·Meisam AkbarzadehSheida Soleimani
Feb 18, 2017·Physical Review. E·Heman ShakeriCaterina Scoglio
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hyun-Joo Kim, Jin Min Kim
Mar 24, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexei VázquezAlbert-László Barabási
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Daniel E Whitney

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