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dc.contributorVargas De Leon, Cruz
dc.contributorGuzman Martinez, Maria
dc.contributor.advisorVARGAS DE LEON, CRUZ; 591497
dc.contributor.advisorGUZMAN MARTINEZ, MARIA; 296735
dc.contributor.authorSierra Rojas, Juan Carlos
dc.date.accessioned2023-03-24T18:44:16Z
dc.date.available2023-03-24T18:44:16Z
dc.date.issued2020-10
dc.identifier.urihttp://ri.uagro.mx/handle/uagro/3538
dc.description.abstractIn this work, a mathematical model for cell and viral dynamics is developed based on three and seven non-linear ordinary differential equations, respectively. The cell dynamics model describes the differentiation of the cells of the stratified epithelium of the cervix, while the viral dynamics model describes human papillomavirus infection during the keratinocytes differentiation. The existence and stability of the infection-free equilibrium of the cell dynamics model is determined, in addition, the non-existence of periodic orbits for a subsystem of this model is proved. We calculated the basic reproductive number of the viral dynamics model. We proved that the infection-free equilibrium is locally asymptotically stable if the basic reproductive number is less than unity. We showed the existence of the infected equilibrium when the basic reproductive number is greater than unity, and the solutions are studied numerically using values of the parameters reported in the literature. The viral dynamics model reproduces transient, acute, latent and chronic infections that have been reported in studies of the natural history of the infection for human papillomavirus.
dc.formatpdf
dc.language.isospa
dc.publisherUniversidad Autónoma de Guerrero (México)
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject.classificationCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA::MATEMÁTICAS::ANÁLISIS NUMÉRICO
dc.titleModelación y análisis de la dinámica del Virus del Papiloma Humano en células epiteliales.
dc.typeTesis de maestría
dc.type.conacytmasterThesis
dc.rights.accesopenAccess
dc.audiencegeneralPublic
dc.identificator1||12||1206
dc.format.digitalOriginBorn digital
dc.thesis.degreelevelMaestría
dc.thesis.degreenameMaestría en Matemáticas Aplicadas
dc.thesis.degreegrantorUniversidad Autónoma de Guerrero
dc.thesis.degreedepartmentFacultad de Matemáticas
dc.thesis.degreedisciplineCiencias Físico Matemáticas y Ciencias de la Tierra
dc.identifier.cvuagro18440327


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Except where otherwise noted, this item's license is described as http://creativecommons.org/licenses/by-nc-nd/4.0