| 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 |
|