Epidemic spreading with long-range infections and incubation times

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dc.creatorAdamek, Julian
dc.creatorKeller, Michael
dc.creatorSenftleben, Arne
dc.creatorHinrichsen, Haye
dc.date2005-06-21
dc.date.accessioned2026-07-07T06:33:24Z
dc.date.available2026-07-07T06:33:24Z
dc.descriptionThe non-equilibrium phase transition in models for epidemic spreading with long-range infections in combination with incubation times is investigated by field-theoretical and numerical methods. Here the spreading process is modelled by spatio-temporal Levy flights, i.e., it is assumed that both spreading distance and incubation time decay algebraically. Depending on the infection rate one observes a phase transition from a fluctuating active phase into an absorbing phase, where the infection becomes extinct. This transition between spreading and extinction is characterized by continuously varying critical exponents, extending from a mean-field regime to a phase described by the universality class of directed percolation. We compute the critical exponents in the vicinity of the upper critical dimension by a field-theoretic renormalization group calculation and verify the results in one spatial dimension by extensive numerical simulations.
dc.description20 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0506541
dc.identifierhttp://arxiv.org/abs/cond-mat/0506541
dc.identifierJ. Stat. Mech. (2005) P09002
dc.identifierdoi:10.1088/1742-5468/2005/09/P09002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99181
dc.subjectStatistical Mechanics
dc.titleEpidemic spreading with long-range infections and incubation times
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