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Title: Processos estocàstics aplicats a l’epidemiologia
Author: Garcı́a Villa, Felipe
Director: Rovira Escofet, Carles
Keywords: Processos estocàstics
Treballs de fi de grau
Equacions diferencials estocàstiques
Equacions integrals estocàstiques
Processos de Markov
Stochastic processes
Bachelor's thesis
Stochastic differential equations
Stochastic integral equations
Markov processes
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
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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