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http://hdl.handle.net/2445/109203
Title: | Processos estocàstics aplicats a l’epidemiologia |
Author: | Garcı́a Villa, Felipe |
Director/Tutor: | Rovira Escofet, Carles |
Keywords: | Processos estocàstics Treballs de fi de grau Equacions diferencials estocàstiques Equacions integrals estocàstiques Processos de Markov Epidemiologia Stochastic processes Bachelor's theses Stochastic differential equations Stochastic integral equations Markov processes Epidemiology |
Issue Date: | Jun-2016 |
Abstract: | 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. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Carles Rovira Escofet |
URI: | http://hdl.handle.net/2445/109203 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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memoria.pdf | Memòria | 940.25 kB | Adobe PDF | View/Open |
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