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008			220601s2019 sz | s |||| 0|eng d
020			_a9783031016653
024	7		_a10.1007/978-3-031-01665-3 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC _dES-MaUEC
050		4	_aRC150 _b2019 EB
100	1		_aSchiesser, William E. _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9670222
245	1	0	_aSpatiotemporal Modeling of Influenza : _bPartial Differential Equation Analysis in R _cby William E. Schiesser
250			_a1st edition 2019
264		1	_aCham _bSpringer International Publishing _c2019
300			_a1 recurso en línea (XIII, 97 páginas)
336			_atexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
347			_aarchivo de texto _bPDF
490	0		_aSynthesis Lectures on Biomedical Engineering _x1930-0336
505	0		_aPreface -- PDE Model Formulation -- Model Implementation -- Model Analysis -- Moving Boundary Model -- Author's Biography -- Index .
520			_aThis book has a two-fold purpose: (1) An introduction to the computer-based modeling of influenza, a continuing major worldwide communicable disease. (2) The use of (1) as an illustration of a methodology for the computer-based modeling of communicable diseases. For the purposes of (1) and (2), a basic influenza model is formulated as a system of partial differential equations (PDEs) that define the spatiotemporal evolution of four populations: susceptibles, untreated and treated infecteds, and recovereds. The requirements of a well-posed PDE model are considered, including the initial and boundary conditions. The terms of the PDEs are explained. The computer implementation of the model is illustrated with a detailed line-by-line explanation of a system of routines in R (a quality, open-source scientific computing system that is readily available from the Internet). The R routines demonstrate the straightforward numerical solution of a system of nonlinear PDEs by the method of lines (MOL), an established general algorithm for PDEs. The presentation of the PDE modeling methodology is introductory with a minumum of formal mathematics (no theorems and proofs), and with emphasis on example applications. The intent of the book is to assist in the initial understanding and use of PDE mathematical modeling of communicable diseases, and the explanation and interpretation of the computed model solutions, as illustrated with the influenza model.
988			_aSynthesis Collection of Technology_2019
650		7	_2embne _9139227 _aEcuaciones diferenciales
650		7	_2embne _9145456 _aEcuaciones en derivadas parciales
650		7	_2embne _9144087 _aGripe _xModelos matemáticos
776	0	8	_iPrinted edition: _z9783031000447
776	0	8	_iPrinted edition: _z9783031005374
776	0	8	_iPrinted edition: _z9783031027932
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-01665-3 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_b03/2023 _dz _esc _zSI