Epidemics and Dimensionality in Hierarchical Networks

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Epidemiological processes are studied within a recently proposed hierarchical network model using the susceptible-infected-refractory dynamics of an epidemic. Within the network model, a population may be characterized by $H$ independent hierarchies or dimensions, each of which consists of groupings of individuals into layers of subgroups. Detailed numerical simulations reveal that for $H>1$, global spreading results regardless of the degree of homophily of the individuals forming a social circle. For H=1, a transition from global to local spread occurs as the population becomes decomposed into increasingly homophilous groups. Multiple dimensions in classifying individuals (nodes) thus make a society (computer network) highly susceptible to large scale outbreaks of infectious diseases (viruses).
10 pages, Revtex, 4 figures, corrected references

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Disordered Systems and Neural Networks, Populations and Evolution

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http://salesiana.dossiersoluciones.com/handle/123456789/163454

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0308502
 http://arxiv.org/abs/cond-mat/0308502

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arXiv