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dc.contributorLázaro Ochoa, José Tomás
dc.contributorIvorra, Benjamín P.
dc.contributorRamos, Ángel M.
dc.contributor.authorKubik, Alicja Barbara
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.description.abstractEpidemiology is the medical discipline in charge of sudying the dynamics of a disease in a given population; particularly, we are interested in human infectious diseases. In the 18th century, with Daniel Bernouilli, a new branch appeared: mathematical epidemiology. During this project, we will first establish some basic concepts and a motivational introduction in order to present some common results on mathematical epidemiology. For that, it will be introduced some theory using the basic SIRS model so as to understand well the involved tools, such as Lyapunov theory on equilibrium points and their stability or the basic reproduction number R0, which will be crucial to determine the future of the disease. Finally, we will try to apply all the learned concepts to study a more complex mathematical model, still in developement, whose aim is trying to reproduce the behaviour of the well-known COVID-19; concretely, there will be shown some numerical results for its evolution in the Metropolitan Area of Barcelona.
dc.publisherUniversitat Politècnica de Catalunya
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshNatural history
dc.subject.otherMathematical epidemiology
dc.subject.otherHuman infectious disease
dc.subject.otherDisease spread
dc.subject.otherBasic reproduction number
dc.subject.otherEffective reproduction number
dc.subject.otherSIRS model
dc.subject.otherLyapunov stability
dc.subject.otherSEIHRD model
dc.subject.otherNumerical simulation
dc.subject.otherParameter calibration
dc.titleParameter estimation for a mathematical model predicting the COVID-19 spread in the Àrea Metropolitana de Barcelona
dc.typeMaster thesis
dc.subject.lemacCiències naturals
dc.subject.amsClassificació AMS::92 Biology and other natural sciences::92F05 Other natural sciences
dc.rights.accessOpen Access
dc.audience.mediatorUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística

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