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dc.contributor.authorSaenz, Miguel A.spa
dc.coverage.spatialMontería, Córdobaspa
dc.date.accessioned2019-11-19T14:49:01Zspa
dc.date.available2019-11-19T14:49:01Zspa
dc.date.issued2019-08-16spa
dc.identifier.urihttps://repositorio.unicordoba.edu.co/handle/ucordoba/2201spa
dc.description.abstractEn este trabajo,diseñamos un esquema de diferencias finitas no estándar,paraobtenersolucionesnuméricasdeunmodelorepresentadoporunconjuntodeecuaciones diferenciales ordinarias, que describe la infección de una Población Diana de células susceptibles a una tasa proporcional a la concentración de viriones. Estas células recién infectadas experimentan por primera vez una fase de eclipse, antes de que se vuelvan infecciosas y produzcan virus a una velocidad constante. Las simulaciones numéricas muestran que el esquema desarrollado conserva las propiedades del modelo continuo, como positividad, límite, etc. El esquema propuesto presenta un comportamiento robusto con diferentes valores de parámetros.spa
dc.description.tableofcontents1. INTRODUCCIÓN 1spa
dc.description.tableofcontents2. MODELOS MATEMÁTICOS DE ENFERMEDADES INFECCIOSAS 5spa
dc.description.tableofcontents3. PROPIEDADES DEL MODELO CONTINUO 11spa
dc.description.tableofcontents3.1. Positividad . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11spa
dc.description.tableofcontents3.2. Punto de equilibrio . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14spa
dc.description.tableofcontents3.3. Estabilidad local . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16spa
dc.description.tableofcontents4. CONSTRUCCIÓN DEL ESQUEMA DISCRETO 19spa
dc.description.tableofcontents5. PROPIEDADES DEL NSFD 21spa
dc.description.tableofcontents5.1. Punto de Equlibrio . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21spa
dc.description.tableofcontents5.2. Positividad . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23spa
dc.description.tableofcontents5.3. Estabilidad local . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24spa
dc.description.tableofcontents5.4. Estabilidad Global . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33spa
dc.description.tableofcontents5.5. Simulaciones . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37spa
dc.description.tableofcontents6. CONCLUSIONES 41spa
dc.format.mimetypeapplication/pdfspa
dc.language.isospaspa
dc.rightsCopyright Universidad de Córdoba, 2020spa
dc.rights.urihttps://creativecommons.org/licenses/by-nc/4.0/spa
dc.titleSolución numérica de un modelo de transmisión de virus usando esquemas de diferencias finitas no estándarspa
dc.typeTrabajo de grado - Pregradospa
dc.type.driverinfo:eu-repo/semantics/bachelorThesisspa
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dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccessspa
dc.rights.creativecommonsAtribución-NoComercial 4.0 Internacional (CC BY-NC 4.0)spa
dc.subject.proposalModelospa
dc.subject.proposalTrasmisiónspa
dc.subject.proposalDiferenciasspa
dc.type.coarhttp://purl.org/coar/resource_type/c_7a1fspa
dc.type.versioninfo:eu-repo/semantics/publishedVersionspa
dc.subject.keywordsModelspa
dc.subject.keywordsDifferencespa
dc.subject.keywordsTransmissionspa
dc.description.degreelevelPregradospa
dc.description.degreenameEstadístico(a)spa
dc.publisher.facultyFacultad de Ciencias Básicasspa
dc.publisher.programEstadísticaspa
dc.type.contentTextspa
dc.type.redcolhttps://purl.org/redcol/resource_type/TPspa
oaire.accessrightshttp://purl.org/coar/access_right/c_16ecspa
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85spa


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