Basic reproductive rate of a spatial epidemic model using computer algebra software

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dc.contributor.authorDoracelly Hincapié, P.
dc.contributor.authorJuan Ospina, G.
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupLógica y Computaciónspa
dc.creatorDoracelly Hincapié, P.
dc.creatorJuan Ospina, G.
dc.date.accessioned2021-03-26T21:35:21Z
dc.date.available2021-03-26T21:35:21Z
dc.date.issued2005-01-01
dc.description.abstractUsing computer algebra software we obtain the basic reproductive rate corresponding to the propagation of a directly transmitted disease in a circular habitat when the disease is endemic at the boundary. The method used is the Laplace Transform Technique and calculus of residues. The results that were obtained include both the explicit form of the R0 for the boundary condition that was considered, as the explicit symbolic solution of the model equation. The method that was used can be extended to other more complex problems such as indirectly transmitted diseases with one or more intermediary hosts or effects of genetic, immunological, geographical or social heterogeneity in the human population. This application indicates that the computer algebra software for symbolic computation has a very promissory future in mathematical epidemiology.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=2461
dc.identifier.isbn9781932415834
dc.identifier.otherSCOPUS;2-s2.0-60749083314
dc.identifier.urihttp://hdl.handle.net/10784/27425
dc.language.isoengeng
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-60749083314&partnerID=40&md5=69a40bacc695688d7ee04ec7f0dab2cc
dc.sourceBasic Reproductive Rate Of A Spatial Epidemic Model Using Computer Algebra Software
dc.subject.keywordAlgebraeng
dc.subject.keywordLaplace transformseng
dc.subject.keywordBasic reproductive rateeng
dc.subject.keywordComplex problemseng
dc.subject.keywordComputer algebra softwareeng
dc.subject.keywordEpidemic modelseng
dc.subject.keywordEpidemic thresholdeng
dc.subject.keywordExplicit formseng
dc.subject.keywordHuman populationseng
dc.subject.keywordLaplace transform techniqueseng
dc.subject.keywordMathematical epidemiologieseng
dc.subject.keywordModel equationseng
dc.subject.keywordResidueeng
dc.subject.keywordSymbolic com-putationeng
dc.subject.keywordComputer softwareeng
dc.titleBasic reproductive rate of a spatial epidemic model using computer algebra softwareeng
dc.typeinfo:eu-repo/semantics/conferencePapereng
dc.typeconferencePapereng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
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