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dc.creatorPalacio, D.H.
dc.creatorGiraldo, J.O.
dc.creatorArias, R.D.G.
dc.date.available2021-03-26T21:35:21Z
dc.date.issued2008-03-17
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=2448
dc.identifierhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-43249086331&doi=10.1117%2f12.777420&partnerID=40&md5=4dc62aa6491f5ff7614add498c42d74d
dc.identifier.urihttp://hdl.handle.net/10784/27423
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.
dc.languageeng
dc.publisherSPIE-INT SOC OPTICAL ENGINEERING
dc.relationDOI;10.1117/12.777420
dc.relationWOS;000258064600009
dc.relationSCOPUS;2-s2.0-43249086331
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0277-786X
dc.sourceProceedings of SPIE
dc.sourceISSN: 0277786X
dc.sourceISSN: 1996756X
dc.subjectComputer simulation; Diseases; Epidemiology; Mathematical models; Perturbation techniques; Security of data; Social aspects; Basic reproductive rate; Computer algebra; Random networks; Routh-Hurwitz theorem; Threshold theorem; Theorem proving
dc.titleThe epidemic threshold theorem with social and contact heterogeneity
dc.typeConference Paper
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.date.accessioned2021-03-26T21:35:21Z


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