Análisis de brotes epidémicos

Garay Seldas, Ana, de

Análisis de brotes epidémicos

dc.contributor.advisor	Carpio, Ana
dc.contributor.author	Garay Seldas, Ana, de
dc.date.accessioned	2023-06-18T01:50:02Z
dc.date.available	2023-06-18T01:50:02Z
dc.date.defense	2018
dc.date.issued	2018
dc.description.abstract	A detailed explanation of an epidemiological mathematical paper (”Numerical study of SARS epidemic model with the inclusion of diffusion in the system”) is carried out. Theoretical background is provided when needed, as well as its practical application to the case of study. Calculations, graphics and numerical results are also included.
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/73606
dc.identifier.uri	https://hdl.handle.net/20.500.14352/20931
dc.language.iso	spa
dc.rights.accessRights	open access
dc.subject.cdu	519.87
dc.subject.cdu	616-036.22
dc.subject.cdu	616.24-002-022.6
dc.subject.keyword	Modelos matemáticos
dc.subject.keyword	Epidemiología
dc.subject.keyword	SARS
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	Análisis de brotes epidémicos
dc.type	bachelor thesis
dcterms.references	[1] A.Naheed, M.Singh y D. Lucy, Numerical study of SARS epidemic model with the inclusion of diffusion in the system Applied Mathematics and Computation 22, (2014) 480–498. [2] A. Chakraborty, M. Singh, D. Lucy, P. Ridland, Predator–prey model with prey-taxis and diffusion, Math. Comput. Model. 46, (2007) 482–498. [3] G. Chowell, P.W. Fenimore, M.A. Castillo-Garsow, C. Castillo-Chavez, SARS outbreak in Ontario, Hong Kong and Singapore: the role of diagnosis and isolation as a control mechanism, J. Theor. Biol. 224, (2003) 1–8. [4] O. Diekmann, J.A.P. Heesterbeek, J.A.J. Metz, C. Castillo- Chavez, On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations, J. Math. Biol. 28, (1990) 365–382. [5] P. Driessche Van den, J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci. 180 (2002) 29–48. [6] H.W. Hethcote, The mathematics of infectious diseases, SIAM 42 (2000) 599–653. [7] Abba B. Gumel, Modelling strategies for controlling SARS outbreaks, R. Soc. 271 (2004) 2223–2232. [8] N. Sapoukhina, Y. Tyutyunov, A. Arditi, The role of prey-taxis in biological control, Am. Nat. 162 (2003) 61–76. [9] Md. Samsuzzoha, M. Singh, D. Lucy, Numerical study of an influenza epidemic model with diffusion, Appl. Math. Comput. 217 (7) (2010) 3461–3479. [10] Md. Samsuzzoha, M. Singh, D. Lucy, A Study on numerical solutions of epidemic models (Ph.D. thesis), Swinburne University of Technology, Australia, 2012. [11] <http://www.who.int/csr/sars/en>, 2003 [12] R.A. Horn, C.R. Johnson, Topics in Matrix Analysis Cambridge University, Cambridge, 1991. [13] S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos Springer, Berlin, 1990. [14] O. Diekmann, J.A.P. Heesterbeek, Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation Wiley, New York, 1999. [15] M. Singh, A. Easton, I. Kozlova, A numerical study of the sprucebudworm reaction-diffusion equation with hostile boundaries, Natural Research Modelling 13 (2000) 535–549. [16] Murray, J. D., Mathematical biology Springer, New York, 1993. [17] Willem Hundsdorfer, Jan Verwer Numerical Solution of Time- Dependent Advection-Diffusion-Reaction Equations Volume 33, Springer, 2003. [18] Steven H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering Westview Press, 2001. [19] Fred Brauer, Mathematical Epidemiology Springer, 2008. [20] Hirsch, Morris W., Differential Equations, Dynamical Systems, and an Introduction to Chaos Elsvier, 2003. [21] Crank, J, Nicolson, P A Practical Method for Numerical Evaluation of Solutions of Partial Differential Equations of Heat Conduction Type (1947) [22] Abraham Berman, Robert J. Plemmons Nonnegative Matrices in the Mathematical Sciences 1979. [23] Jacobson, N., Basic Algebra I, San Francisco: W. H. Freeman, 1974.
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