Um modelo para avaliar a validade da hipótese de mistura homogênea em sistemas epidemiológicos

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dc.contributor.advisorMonteiro, Luiz Henrique Alvespt_BR
dc.contributor.advisor1Latteshttp://lattes.cnpq.br/1820487447148268por
dc.contributor.authorTurnes Junior, Pericles do Pradopt_BR
dc.creator.Latteshttp://lattes.cnpq.br/4368901324420743por
dc.date.accessioned2016-03-15T19:38:51Z
dc.date.accessioned2020-05-28T18:07:57Z
dc.date.available2014-09-24pt_BR
dc.date.available2020-05-28T18:07:57Z
dc.date.issued2014-07-29pt_BR
dc.description.abstractThere are many epidemiological models written in terms of ordinary differential equations (ODE). This approach is based on the homogeneous mixing assumption; that is, the topological structure of the network of social contacts, established by the individuals in the population, is not relevant to forecast the propagation of the studied pathogen. In this work, an epidemiological model formulated in terms of ODE and probabilistic cellular automata (PCA) is proposed to study the spread of contagious diseases that do not conferimmunity. The state variables of this model are the percentages of susceptible individuals, infected individuals and empty space. It is shown that this dynamical system can experience Hopf and transcritical bifurcations. Then, this model is used 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.eng
dc.description.sponsorshipInstituto Presbiteriano Mackenziept_BR
dc.formatapplication/pdfpor
dc.identifier.citationTURNES JUNIOR, Pericles do Prado. Um modelo para avaliar a validade da hipótese de mistura homogênea em sistemas epidemiológicos. 2014. 79 f. Tese (Doutorado em Engenharia Elétrica) - Universidade Presbiteriana Mackenzie, São Paulo, 2014.por
dc.identifier.urihttp://dspace.mackenzie.br/handle/10899/24260
dc.languageporpor
dc.publisherUniversidade Presbiteriana Mackenziepor
dc.rightsAcesso Abertopor
dc.subjectautômato celular probabilistapor
dc.subjectbifurcaçãopor
dc.subjectepidemiologiapor
dc.subjectequação diferencial ordináriapor
dc.subjectsistemas dinâmicospor
dc.subjectbifurcationeng
dc.subjectdynamical systemseng
dc.subjectepidemiologyeng
dc.subjectordinary differential equationeng
dc.subjectprobabilistic cellular automatoneng
dc.subject.cnpqCNPQ::ENGENHARIAS::ENGENHARIA ELETRICApor
dc.thumbnail.urlhttp://tede.mackenzie.br/jspui/retrieve/3776/Pericles%20do%20Prado%20Turnes%20Junior.pdf.jpg*
dc.titleUm modelo para avaliar a validade da hipótese de mistura homogênea em sistemas epidemiológicospor
dc.typeTesepor
local.contributor.board1Mustaro, Pollyana Notargiacomopt_BR
local.contributor.board1Latteshttp://lattes.cnpq.br/5131975026612008por
local.contributor.board2Berlinck, José Guilherme de Souza Chaui Mattospt_BR
local.contributor.board2Latteshttp://lattes.cnpq.br/1485621700443009por
local.contributor.board3Cruz, Jose Jaime dapt_BR
local.contributor.board3Latteshttp://lattes.cnpq.br/2947188782090542por
local.contributor.board4Schimit, Pedro Henrique Triguispt_BR
local.contributor.board4Latteshttp://lattes.cnpq.br/9938713955885093por
local.publisher.countryBRpor
local.publisher.departmentEngenharia Elétricapor
local.publisher.initialsUPMpor
local.publisher.programEngenharia Elétricapor
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Engenharia Elétrica e Computação - Teses - EE Higienópolis