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Proceedings Paper

Social networks and spreading of epidemics
Author(s): Steffen Trimper; Dafang Zheng; Marian Brandau
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Paper Abstract

Epidemiological processes are studied within a recently proposed social network model using the susceptible-infected-refractory dynamics (SIR) of an epidemic. Within the network model, a population of individuals may be characterized by H independent hierarchies or dimensions, each of which consists of groupings of individuals into layers of subgroups. Detailed numerical simulations reveals that for H > 1, the global spreading results regardless of the degree of homophily α of the individuals forming a social circle. For H = 1, a transition from a global to a 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). The SIR-model can be extended by the inclusion of waiting times resulting in modified distribution function of the recovered.

Paper Details

Date Published: 25 May 2004
PDF: 9 pages
Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); doi: 10.1117/12.546357
Show Author Affiliations
Steffen Trimper, Martin-Luther-Univ. Halle-Wittenberg (Germany)
Dafang Zheng, Martin-Luther-Univ. Halle-Wittenberg (Germany)
Marian Brandau, Martin-Luther-Univ. Halle-Wittenberg (Germany)


Published in SPIE Proceedings Vol. 5471:
Noise in Complex Systems and Stochastic Dynamics II
Zoltan Gingl, Editor(s)

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