{"id":12356,"date":"2018-03-09T08:58:10","date_gmt":"2018-03-09T08:58:10","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/analysis-of-a-prey-predator-model-in-age-structured-population-dynamics\/"},"modified":"2018-03-09T08:58:10","modified_gmt":"2018-03-09T08:58:10","slug":"analysis-of-a-prey-predator-model-in-age-structured-population-dynamics","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/ciencias-de-la-vida\/analysis-of-a-prey-predator-model-in-age-structured-population-dynamics\/","title":{"rendered":"Analysis of a prey-predator model in age-structured population dynamics"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Omar El Idrissi <\/strong><\/h2>\n<p>En esta tesis se estudia un modelo matem\u00e1tico de din\u00e1mica poblaciones para una poblaci\u00f3n repartida en un subgrupo de j\u00f3venes y otro de adultos que se alimentan ambos del mismo recurso. La poblaci\u00f3n de los j\u00f3venes est\u00e1 estructurada por la edad, mientras la poblaci\u00f3n de adultos as\u00ed como la cantidad de recursos son fuciones solo del tiempo. El principal logro de la tesis consiste en un estudio del modelo tan completo como es posible. el plan de trabajo incluye las siguientes etapas:  a,- prueba de la existencia local y unicidad, positividad y existencia global de las soluciones.  b,- determinaci\u00f3n de puntos de equilibrio.  c,- comportamiento asint\u00f3tico, en particular, estabilidad de las soluciones estacionarias.  en el cap\u00edtulo 3, este estudio se realiza bajo una hip\u00f3tesis que relaciona la tasa de mortalidad de los j\u00f3venes con la de los adultos.  en cambio en el cap\u00edtulo 4 se considear el caso general en el que las tasas de mortalidad no est\u00e1n relacionadas. Adem\u00e1s, la tasa de mortaldiad de los j\u00f3venes depende de la edad. Se ha estudiado la estabilidad de los equilibrios usando la ecuaci\u00f3n linealizada cerca de estos puntos. En este caso, se obtienen s\u00f3lo resultados parciales y, con algunas condiciones adicionales, se demuestra la existencia de una tractor global compacto.  en el cap\u00edtulo 5 se analiza c\u00faan robustos son los resultados locales del cap\u00edtulo 3 con respecto a perturbaciones de las tasas de mortalidad.  d,- el cap\u00edtulo 6 se dedica a c\u00e1lculos num\u00e9ricos que ilustran resultados de la parte anal\u00edtica y proporciona algunas respuestas (num\u00e9ricas) a preguntas cuya respuesta anal\u00edtica se revela imposible.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Analysis of a prey-predator model in age-structured population dynamics<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Analysis of a prey-predator model in age-structured population dynamics <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Omar El Idrissi <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Aut\u00f3noma de barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 17\/07\/2001<\/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>\u00e1ngel Calsina Ballesta<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: carles Perello  i valls <\/li>\n<li>joan Sol\u00ed\u00a0-morales rubio (vocal)<\/li>\n<li>ovide Arino (vocal)<\/li>\n<li> Maz\u00f3n ruiz Jos\u00e9 Manuel (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Omar El Idrissi En esta tesis se estudia un modelo matem\u00e1tico de din\u00e1mica poblaciones para una poblaci\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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