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• W1489081208 abstract "AbstractWe investigate the e ects of heterogeneous and clustered contact patterns onthe timescale and nal size of infectious disease epidemics. The abundance oftransitive relationships (the number of 3 cliques) in a network and the varianceof the degree distribution are shown to have large e ects on the number ulti-mately infected and how quickly the epidemic propagates. The network modelis based on a simple generalization of the con guration model, and epidemicdynamics are modeled with a low dimensional system of ordinary di erentialequations. Because of the simplicity of this model, we are able to explore alarge parameter space and characterize dynamics over a wide range of networktopologies. We nd that the interaction between clustering and the degree distri-bution is complex, and that clustering always slows down an epidemic, but thatsimultaneously increasing clustering and variance of the degree distribution canpotentially increase nal epidemic size. In contrast to solutions for unclusteredcon guration model networks, we nd that bond percolation solutions for the nal epidemic size are potentially biased if they do not take variable infectiousperiods into account.Keywords: networks, SIR, clustering, percolationThe degree distribution and the clustering coecient [1] are two of the mostcommonly investigated features of networks with respect to di usion and epi-demic processes. We consider the problem of the the dynamic spread of aninfectious disease in a population modeled as a random graph.While the in-uence of the degree distribution on epidemic dynamics is now a well studiedproblem[2, 3, 4, 5], there is still substantial debate about the e ects of cluster-ing. Some investigations have indicated that clustering may decrease epidemicthresholds, in e ect making it more likely that an epidemic will occur followingan initial introduction [6]. Other studies have found that the relationships be-tween clustering and epidemic thresholds is complex [7, 8, 9], and depends on" @default.
• W1489081208 created "2016-06-24" @default.
• W1489081208 creator A5058253520 @default.
• W1489081208 date "2010-06-04" @default.
• W1489081208 modified "2023-09-27" @default.
• W1489081208 title "Dynamics of infectious disease in clustered networks with arbitrary degree distributions" @default.
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• W1489081208 hasPublicationYear "2010" @default.
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