Exact solutions of epidemic models on networks

dc.creatorNewman, M. E. J.
dc.date2002-01-24
dc.date.accessioned2026-07-07T02:44:14Z
dc.date.available2026-07-07T02:44:14Z
dc.descriptionThe study of social networks, and in particular the spread of disease on networks, has attracted considerable recent attention in the physics community. In this paper, we show that a large class of standard epidemiological models, the so-called susceptible/infective/removed models, and many of their generalizations, can be solved exactly on a wide variety of networks. Solutions are possible for cases with heterogeneous or correlated probabilities of transmission, cases incorporating vaccination, and cases in which the network has complex structure of various kinds. We confirm the correctness of our solutions by comparison with computer simulations of epidemics propagating on the corresponding networks.
dc.description11 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0201433
dc.identifierhttp://arxiv.org/abs/cond-mat/0201433
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18832
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.subjectQuantitative Biology
dc.titleExact solutions of epidemic models on networks
dc.typetext

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