On the basic reproduction number and the topological properties of the contact network: An epidemiological study in mainly locally connected cellular automata

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dc.contributor.authorSchimit P.H.T.
dc.contributor.authorMonteiro L.H.A.
dc.date.accessioned2024-03-13T01:34:59Z
dc.date.available2024-03-13T01:34:59Z
dc.date.issued2009
dc.description.abstractWe study the spreading of contagious diseases in a population of constant size using susceptible-infective-recovered (SIR) models described in terms of ordinary differential equations (ODEs) and probabilistic cellular automata (PCA). In the PCA model, each individual (represented by a cell in the lattice) is mainly locally connected to others. We investigate how the topological properties of the random network representing contacts among individuals influence the transient behavior and the permanent regime of the epidemiological system described by ODE and PCA. Our main conclusions are: (1) the basic reproduction number (commonly called R0) related to a disease propagation in a population cannot be uniquely determined from some features of transient behavior of the infective group; (2) R0 cannot be associated to a unique combination of clustering coefficient and average shortest path length characterizing the contact network. We discuss how these results can embarrass the specification of control strategies for combating disease propagations. © 2009 Elsevier B.V. All rights reserved.
dc.description.firstpage1034
dc.description.issuenumber7
dc.description.lastpage1042
dc.description.volume220
dc.identifier.doi10.1016/j.ecolmodel.2009.01.014
dc.identifier.issn0304-3800
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/37377
dc.relation.ispartofEcological Modelling
dc.rightsAcesso Restrito
dc.subject.otherlanguageBasic reproduction number
dc.subject.otherlanguageEpidemiology
dc.subject.otherlanguageOrdinary differential equations
dc.subject.otherlanguageProbabilistic cellular automata
dc.subject.otherlanguageRandom networks
dc.subject.otherlanguageSIR model
dc.titleOn the basic reproduction number and the topological properties of the contact network: An epidemiological study in mainly locally connected cellular automata
dc.typeArtigo
local.scopus.citations52
local.scopus.eid2-s2.0-61749104520
local.scopus.subjectBasic reproduction number
local.scopus.subjectClustering coefficients
local.scopus.subjectContact networks
local.scopus.subjectControl strategies
local.scopus.subjectDisease propagation
local.scopus.subjectEpidemiological studies
local.scopus.subjectPca models
local.scopus.subjectProbabilistic cellular automata
local.scopus.subjectRandom networks
local.scopus.subjectShortest paths
local.scopus.subjectSIR model
local.scopus.subjectTopological properties
local.scopus.subjectTransient behaviors
local.scopus.updated2024-05-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=61749104520&origin=inward
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