Publicación:
Soluciones numéricas de un modelo sobre la dinámica del VIH con delay usando un esquema de diferencias finitas no estándar

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dc.contributor.authorNaranjo Garcés, Jhon Jairospa
dc.date.accessioned2019-11-18T17:48:37Zspa
dc.date.available2019-11-18T17:48:37Zspa
dc.date.issued2019-08-20spa
dc.description.abstractEn este trabajo planteamos un nuevo modelo por medio de un conjunto de ecuaciones diferenciales con retardo para describir la infección intracelular por VIH, donde existen dos poblaciones de células, las que permiten que el virus se multiplique y las que están pasando al modo de producción de virus. El modelo es formulado de tal manera que existe un delay fijo durante la fase de eclipse. Las simulaciones numéricas son realizadas con un esquema numérico diseñado bajo la metodología de los esquemas de diferencias no estándar el cual preserva las propiedades del modelo continuo.spa
dc.description.degreelevelPregradospa
dc.description.degreenameEstadístico(a)spa
dc.description.tableofcontents1. INTRODUCCIÓN 1spa
dc.description.tableofcontents2. MODELOS EPIDEMIOLÓGICOS 5spa
dc.description.tableofcontents2.1. Preliminares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5spa
dc.description.tableofcontents2.2. Modelo SIR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5spa
dc.description.tableofcontents2.3. Modelos matemáticos para el VIH . . . . . . . . . . . . . . . . . . . . . 7spa
dc.description.tableofcontents3. PROPIEDADES DEL MODELO CONTINUO 13spa
dc.description.tableofcontents3.1. Positividad y acotamiento . . . . . . . . . . . . . . . . . . . . . . . . . . 13spa
dc.description.tableofcontents3.3. Estabilidad Local . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20spa
dc.description.tableofcontents4. DISEÑO Y PROPIEDADES DEL ESQUEMA DISCRETO 25spa
dc.description.tableofcontents4.1. Puntos de equilibrio . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27spa
dc.description.tableofcontents4.2. Estabilidad local . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28spa
dc.description.tableofcontents4.3. Simulaciones . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35spa
dc.description.tableofcontents5. CONCLUSIONES 39spa
dc.description.tableofcontentsBibliografía 41spa
dc.identifier.urihttps://repositorio.unicordoba.edu.co/handle/ucordoba/2200spa
dc.language.isospaspa
dc.publisher.facultyFacultad de Ciencias Básicasspa
dc.publisher.programEstadísticaspa
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dc.rightsCopyright Universidad de Córdoba, 2020spa
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccessspa
dc.rights.creativecommonsAtribución 4.0 Internacional (CC BY 4.0)spa
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/spa
dc.subject.keywordsmodelspa
dc.subject.keywordsdifferencesspa
dc.subject.keywordsfinitesspa
dc.subject.proposalmodelospa
dc.subject.proposaldiferenciasspa
dc.subject.proposalfinitasspa
dc.titleSoluciones numéricas de un modelo sobre la dinámica del VIH con delay usando un esquema de diferencias finitas no estándarspa
dc.typeOtrosspa
dc.type.coarhttp://purl.org/coar/resource_type/c_1843spa
dc.type.contentTextspa
dc.type.driverinfo:eu-repo/semantics/otherspa
dc.type.versioninfo:eu-repo/semantics/publishedVersionspa
dspace.entity.typePublication
oaire.accessrightshttp://purl.org/coar/access_right/c_16ecspa
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85spa
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