An epidemic model to evaluate the homogeneous mixing assumption

dc.contributor.authorTurnes P.P.
dc.contributor.authorMonteiro L.H.A.
dc.date.accessioned2024-03-13T01:02:29Z
dc.date.available2024-03-13T01:02:29Z
dc.date.issued2014
dc.description.abstractMany epidemic models are written in terms of ordinary differential equations (ODE). This approach relies on the homogeneous mixing assumption; that is, the topological structure of the contact network established by the individuals of the host population is not relevant to predict the spread of a pathogen in this population. Here, we propose an epidemic model based on ODE to study the propagation of contagious diseases conferring no immunity. The state variables of this model are the percentages of susceptible individuals, infectious individuals and empty space. We show that this dynamical system can experience transcritical and Hopf bifurcations. Then, we employ this model to evaluate the validity of the homogeneous mixing assumption by using real data related to the transmission of gonorrhea, hepatitis C virus, human immunodeficiency virus, and obesity. © 2014 Elsevier B.V.
dc.description.firstpage4042
dc.description.issuenumber11
dc.description.lastpage4047
dc.description.volume19
dc.identifier.doi10.1016/j.cnsns.2014.01.029
dc.identifier.issn1007-5704
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/36494
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.rightsAcesso Restrito
dc.subject.otherlanguageBifurcation
dc.subject.otherlanguageEpidemiology
dc.subject.otherlanguageGonorrhea
dc.subject.otherlanguageHepatitis C virus
dc.subject.otherlanguageHuman immunodeficiency virus
dc.subject.otherlanguageObesity
dc.titleAn epidemic model to evaluate the homogeneous mixing assumption
dc.typeArtigo
local.scopus.citations16
local.scopus.eid2-s2.0-84901683186
local.scopus.subjectContagious disease
local.scopus.subjectEpidemic modeling
local.scopus.subjectGonorrhea
local.scopus.subjectHepatitis C virus
local.scopus.subjectHuman immunodeficiency virus
local.scopus.subjectObesity
local.scopus.subjectOrdinary differential equation (ODE)
local.scopus.subjectTopological structure
local.scopus.updated2024-05-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84901683186&origin=inward
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