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dc.contributor.author
Dottori, Martin
dc.contributor.author
Fabricius, Gabriel
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dc.date.available
2016-04-04T21:08:48Z
dc.date.issued
2015-04-18
dc.identifier.citation
Dottori, Martin; Fabricius, Gabriel; SIR model on a dynamical network and the endemic state of an infectious disease; Elsevier; Physica A: Statistical Mechanics and its Applications; 434; 18-4-2015; 25-35
dc.identifier.issn
0378-4371
dc.identifier.uri
http://hdl.handle.net/11336/5045
dc.description.abstract
In this work we performed a numerical study of an epidemic model that mimics the endemic state of whooping cough in the pre-vaccine era. We considered a stochastic SIR model on dynamical networks that involve local and global contacts among individuals and analysed the influence of the network properties on the characterization of the quasi-stationary state. We computed probability density functions (PDF) for infected fraction of individuals and found that they are well fitted by gamma functions, excepted the tails of the distributions that are q-exponentials. We also computed the fluctuation power spectra of infective time series for different networks. We found that network effects can be partially absorbed by rescaling the rate of infective contacts of the model. An explicit relation between the effective transmission rate of the disease and the correlation of susceptible individuals with their infective nearest neighbours was obtained. This relation quantifies >the known screening of infective individuals observed in these networks. We finally discuss the goodness and limitations of the SIR model with homogeneous mixing and parameters taken from epidemiological data to describe the dynamic behaviour observed in the networks studied.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
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dc.rights
info:eu-repo/semantics/embargoedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
Sir
dc.subject
Network
dc.subject
Stochastic
dc.subject
Pertussis
dc.subject.classification
Física Atómica, Molecular y Química
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
SIR model on a dynamical network and the endemic state of an infectious disease
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2016-05-06 15:52:43.262787-03
dc.journal.volume
434
dc.journal.pagination
25-35
dc.journal.pais
Países Bajos
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dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Dottori, Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
dc.description.fil
Fil: Fabricius, Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina. Universidad Nacional de la Plata; Argentina
dc.journal.title
Physica A: Statistical Mechanics and its Applications
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dc.rights.embargoDate
2017-05-15
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/1410.1383
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2015.04.007
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1410.1383
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0378437115003660
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.physa.2015.04.007
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