{"id":93325,"date":"2018-03-11T10:12:39","date_gmt":"2018-03-11T10:12:39","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/mathematical-modelling-of-virus-rsv-qualitative-properties-numerical-solutions-and-validation-for-the-case-of-the-region-of-valencia\/"},"modified":"2018-03-11T10:12:39","modified_gmt":"2018-03-11T10:12:39","slug":"mathematical-modelling-of-virus-rsv-qualitative-properties-numerical-solutions-and-validation-for-the-case-of-the-region-of-valencia","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/mathematical-modelling-of-virus-rsv-qualitative-properties-numerical-solutions-and-validation-for-the-case-of-the-region-of-valencia\/","title":{"rendered":"Mathematical modelling of virus rsv: qualitative properties, numerical solutions and validation for the case of the region of Valencia."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Abraham Jos\u00e9 Arenas Tawil <\/strong><\/h2>\n<p>El objetivo de esta memoria se centra en primer lugar en la modelizaci\u00f3n del comportamiento de enfermedades estacionales mediante sistemas de ecuaciones diferenciales y en el estudio de las propiedades din\u00e1micas tales como positividad, periocidad, estabilidad de las soluciones anal\u00edticas y la construcci\u00f3n de esquemas num\u00e9ricos para las aproximaciones de las soluciones num\u00e9ricas de sistemas de ecuaciones diferenciales de primer orden no lineales, los cuales modelan el comportamiento de enfermedades infecciosas estacionales tales como la transmisi\u00f3n del virus respiratory syncytial virus (rsv).  se generalizan dos modelos matem\u00e1ticos de enfermedades estacionales y se demuestran  que tiene soluciones peri\u00f3dicas usando un teorema de coincidencia de jean mawhin. Para corroborar los resultados anal\u00edticos, se desarrollan esquemas num\u00e9ricos usando las t\u00e9cnicas de diferencias finitas no est\u00e1ndar  desarrolladas por ronald michens y el m\u00e9todo de la transformada diferencial, los cuales permiten reproducir el comportamiento din\u00e1mico de las soluciones anal\u00edticas, tales como positividad y periocidad.  finalmente, las simulaciones num\u00e9ricas se realizan usando los esquemas implementados y par\u00e1metros deducidos de datos cl\u00ednicos de la regi\u00f3n de Valencia de personas infectadas con el virus rsv. Se confrontan con las que arrojan los m\u00e9todos de euler, runge kutta y la rutina de ode45 de matlab, verific\u00e1ndose mejores aproximaciones para tama\u00f1os de paso mayor a los que usan normalmente estos esquemas tradicionales.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Mathematical modelling of virus rsv: qualitative properties, numerical solutions and validation for the case of the region of Valencia.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Mathematical modelling of virus rsv: qualitative properties, numerical solutions and validation for the case of the region of Valencia. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Abraham Jos\u00e9 Arenas Tawil <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Valencia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 15\/05\/2009<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Lucas Antonio Jodar Sanchez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: rafael Bru Garc\u00eda <\/li>\n<li>Francisco Javier Solis lozano (vocal)<\/li>\n<li>Jos\u00e9 Antonio Martin alustiza (vocal)<\/li>\n<li>benito Chen charpentier (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Abraham Jos\u00e9 Arenas Tawil El objetivo de esta memoria se centra en primer lugar en la modelizaci\u00f3n [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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