The epidemic threshold theorem with social and contact heterogeneity

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dc.contributor.authorPalacio, D.H.
dc.contributor.authorGiraldo, J.O.
dc.contributor.authorArias, R.D.G.
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupLógica y Computaciónspa
dc.creatorPalacio, D.H.
dc.creatorGiraldo, J.O.
dc.creatorArias, R.D.G.
dc.date.accessioned2021-03-26T21:35:21Z
dc.date.available2021-03-26T21:35:21Z
dc.date.issued2008-03-17
dc.description.abstractThe threshold theorem of an epidemic SIR model was compared when infectious and susceptible individuals have homogeneous mixing and heterogeneous social status and when individuals of random networks have contact heterogeneity. Particularly the effect of vaccination in such models is considered when: individuals or nodes are exposed to impoverished, vaccination and loss of immunity. An equilibrium analysis and local stability of small perturbations about the equilibrium values were implemented using computer algebra. Numerical simulations were executed in order to describe the dynamic of transmission of diseases and changes of the basic reproductive rate. The implications of these results are examined around the threats to the global public health security.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=2448
dc.identifier.doi10.1117/12.777420
dc.identifier.issn0277786X
dc.identifier.issn1996756X
dc.identifier.otherWOS;000258064600009
dc.identifier.otherSCOPUS;2-s2.0-43249086331
dc.identifier.urihttp://hdl.handle.net/10784/27423
dc.language.isoengeng
dc.publisherSPIE-INT SOC OPTICAL ENGINEERING
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-43249086331&doi=10.1117%2f12.777420&partnerID=40&md5=4dc62aa6491f5ff7614add498c42d74d
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0277-786X
dc.sourceProceedings of SPIE
dc.subject.keywordComputer simulationeng
dc.subject.keywordDiseaseseng
dc.subject.keywordEpidemiologyeng
dc.subject.keywordMathematical modelseng
dc.subject.keywordPerturbation techniqueseng
dc.subject.keywordSecurity of dataeng
dc.subject.keywordSocial aspectseng
dc.subject.keywordBasic reproductive rateeng
dc.subject.keywordComputer algebraeng
dc.subject.keywordRandom networkseng
dc.subject.keywordRouth-Hurwitz theoremeng
dc.subject.keywordThreshold theoremeng
dc.subject.keywordTheorem provingeng
dc.titleThe epidemic threshold theorem with social and contact heterogeneityeng
dc.typeinfo:eu-repo/semantics/conferencePapereng
dc.typeconferencePapereng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
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