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Processos estocàstics aplicats a l’epidemiologia

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dc.contributor Rovira Escofet, Carles
dc.creator Garcı́a Villa, Felipe
dc.date 2017-03-31T07:58:42Z
dc.date 2017-03-31T07:58:42Z
dc.date 2016-06
dc.date.accessioned 2024-12-16T10:24:03Z
dc.date.available 2024-12-16T10:24:03Z
dc.identifier http://hdl.handle.net/2445/109203
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/17013
dc.description Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Carles Rovira Escofet
dc.description The interest in human health has always been a priority for humans. Infectious diseases can produce epidemics wich are a very important cause of death in the world. The science that studies the evolution of an epidemic that affects a specific part of the population is called epidemiology. In this work, a stochastic epidemiological model SIR proposed by Henry C. Tuckwell and Ruth J. Williams in 2006 is exposed. This model uses Markov chains and a diffusion process. To be able to understand it properly, concepts of stochastic processes will be introduced and, especially, it will be explained what the stochastic integrals and stochastic differential equations are. This will be necessary to make simulations of the epidemiological model.
dc.format 43 p.
dc.format application/pdf
dc.language cat
dc.rights cc-by-nc-nd (c) Felipe Garcı́a Villa, 2016
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Matemàtiques
dc.subject Processos estocàstics
dc.subject Treballs de fi de grau
dc.subject Equacions diferencials estocàstiques
dc.subject Equacions integrals estocàstiques
dc.subject Processos de Markov
dc.subject Epidemiologia
dc.subject Stochastic processes
dc.subject Bachelor's theses
dc.subject Stochastic differential equations
dc.subject Stochastic integral equations
dc.subject Markov processes
dc.subject Epidemiology
dc.title Processos estocàstics aplicats a l’epidemiologia
dc.type info:eu-repo/semantics/bachelorThesis


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