Endemic infections are always possible on regular networks

We study the dependence of the largest component in regular networks on the clustering coefficient, showing that its size changes smoothly without undergoing a phase transition. We explain this behavior via an analytical approach based on the network structure, and provide an exact equation describi...

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Bibliographic Details
Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 88; no. 4; p. 040801
Main Authors Del Genio, Charo I, House, Thomas
Format Journal Article
LanguageEnglish
Published United States 01.10.2013
Subjects
Communicable Diseases - epidemiology
Communicable Diseases - transmission
Endemic Diseases
Models, Theoretical
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Summary:We study the dependence of the largest component in regular networks on the clustering coefficient, showing that its size changes smoothly without undergoing a phase transition. We explain this behavior via an analytical approach based on the network structure, and provide an exact equation describing the numerical results. Our work indicates that intrinsic structural properties always allow the spread of epidemics on regular networks.
ISSN:1550-2376
DOI:10.1103/PhysRevE.88.040801