Modelos matemáticos para el control de epidemias por aislamiento
| dc.contributor.advisor | Carpio, Ana | |
| dc.contributor.author | Cuéllar Grande, Carlos | |
| dc.date.accessioned | 2023-06-17T10:56:52Z | |
| dc.date.available | 2023-06-17T10:56:52Z | |
| dc.date.defense | 2020 | |
| dc.date.issued | 2020-01-31 | |
| dc.degree.title | Grado en Ingeniería matemática | |
| dc.description.abstract | This research analyzes theoretically a model for disease control via isolation. Firstly, the equations and the parameters of this model are studied. Later, the equilibrium is looked into, turning out to two possible equilibrium. The first of them is the epidemic equilibrium and the second one is the endemic equilibrium. We will focus on linear analysis. The epidemic case is studied in detail, providing not only the results, but also the demonstrations. Furthermore, in the endemic case, we will demonstrate the most relevant results. In both sets, we have carried out a simulation in function of the time that hosts are isolation. Moreover, fixing the probability to identify and infectious individual and the elapsed time between infection and identification. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | FALSE | |
| dc.description.status | submitted | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/73607 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/10587 | |
| dc.language.iso | spa | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 517 | |
| dc.subject.cdu | 616-036.22 | |
| dc.subject.keyword | Análisis matemático | |
| dc.subject.keyword | Ecuaciones diferenciales | |
| dc.subject.keyword | Epidemias | |
| dc.subject.ucm | Matemáticas (Matemáticas) | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.ucm | Enfermedades infecciosas | |
| dc.subject.unesco | 12 Matemáticas | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.subject.unesco | 3205.05 Enfermedades Infecciosas | |
| dc.title | Modelos matemáticos para el control de epidemias por aislamiento | |
| dc.type | bachelor thesis | |
| dcterms.references | [1] Ruschel, Stefan; Pereira, Tiago ; Yanchuk, Serhiy; Young, Lai-Sang. An SIQ delay differential equations model for disease control via isolation. 2019, Journal of Mathematical Biology, págs. 249-279. [2] Universidad Internacional de Valencia. 05 de 02 de 2018. https://www.universidadviu.es/endemia/. [3] J.Rothman, Kenneth. Epidemiología moderna. Massachusetts : Ediciones de santos, 1987. ISBN: 84-86251-68-0. [4] Gregg, Michael. Field Epidemiology. Oxford : Oxford, 2008. ISBN: 978-0-19-531380-2. [5] Organización Mundial de la Salud. 2019. https://www.who.int/phe/about_us/es/. [6] Diccionario del Estudiante, Real Academia Española. s.l. Santillana, 2011. ISBN: 978-84-294-5088-0 [7] Diccionario Enciclopédico Ilustrado. Barcelona : Difusora Internacional, SA, 1993. ISBN: 84-395-2328-9. [8] Strogatz, Steve H. NonLinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. Cambridge : Perseus Books Publishing, LLC, 2000. ISBN: 0-7382-0453-6. [9] Stewart, H.B y Thomson, J.M.T. Nonlinear Dynamics and Chaos: Geometrical methods for engineers and scientists. Great Britain : Wiley, 1986. ISBN: 0-471-90960-2. [10] Carpio, Ana. Modelización. Simulación en Sistemas dinámicos. E prints Universidad Complutense. Universidad Complutense de Madrid, 09 de 01 de 2017. https://biblioteca.unirioja.es/tfe_e/TFE002211.pdf. [11] Sanz Garayalde, Iranzu. Modelo epidemiológicos basados en ecuaciones en diferencias. Universidad de la Rioja, Servicio de Publicaciones. Junio de 2016. https://biblioteca.unirioja.es/tfe_e/TFE002211.pdf. [12] Losantos García, Itsaso. Impacto de una vacuna parcialmente eficaz en la transmisión de una enfermedad contagiosa. E prints Universidad Complutense. Septiembre de 2018. https://eprints.ucm.es/49487/1/TFM_LosantosGarc%C3%ADa.pdf. [13] Kato, Mikio y Maligranda, Lech. Banach and function spaces. Kyushu : Yokohama Publishers, 2003. ISBN: 4-946552.14.6. [14] Hale, Jack. K; Lunel, S.M.V. Introduction to functional differential equations, applied mathematical sciences. New York : Springer, 1993. ISBN: 978-1-4612-4342-7. [15] Kelley, J.L. General topology. California : Springer-Verlag, 1991. ISBN: 978-03-387-90125-1. [16] Kulenvic, Mustafa R.S.; Merino, Orlando. Discrete Dynamical Systems and difference equations with Mathematica. Kingston : Chapman and Hall/CRC, 2018. ISBN: 1-58488-287-5. [17] Iooss, Gérard; Joseph, Daniel D. Elementary Stability and Bifurcation Theory. New York : Springer-Verlag, 1989. ISBN: 0-387-97068. [18] Busenberg, S.N; Cooke, K.L. The Effect of Integral Conditions in Certain Equations Modelling Epidemics and Population Growth (Journal of mathematical). págs. 12-32. Springer, 1980, Vol. 10(1). [19] Herbert BlaineLawson, JR. Foliations (Bulletin of the american mathematical society). American Mathematical Society, 1974, Vol. 80, number 3. ISBN: S0002-9904-1974-13432-4. [20] Keller, H.B. Numerical Methods in Bifurcation Problems. Bombay : Springer-Verlag, 1987. ISBN: 3-540-20228-5. [21] Infante del Rio, Juan Antonio; Rey Cabezas, José María. Métodos Numéricos. Madrid. Pirámide. ISBN: 84-368-1724. [22] Lindfield, George; Penny, John. Numerical Methods using Matlab. Birmingham. Elsevier. ISBN: 0-12-812256-0. [23] Howard Mathews, Josep; Fink Kurtis, D. Métodos Numéricos con matlab. Pearson. ISBN: 84-8322-181-0. | |
| dspace.entity.type | Publication |
Download
Original bundle
1 - 1 of 1
Loading...
- Name:
- Carlos_Cuellar_Grande_tfg.pdf
- Size:
- 1.31 MB
- Format:
- Adobe Portable Document Format
