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Epidemics and Dimensionality in Hierarchical Networks

Dafang Zheng·P. M. Hui·Steffen Trimper·Bo Zheng
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Abstract

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).

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Dafang Zheng, P. M. Hui, Steffen Trimper, Bo Zheng. 2004-11-23. Epidemics and Dimensionality in Hierarchical Networks. https://arxiv.org/abs/cond-mat/0308502

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