| 000 | 04945nam a2200769 i 4500 | ||
|---|---|---|---|
| 001 | 8710034 | ||
| 003 | IEEE | ||
| 005 | 20200413152932.0 | ||
| 006 | m eo d | ||
| 007 | cr bn |||m|||a | ||
| 008 | 190529s2019 caua fob 001 0 eng d | ||
| 020 |
_a9781681735702 _qelectronic |
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| 020 |
_z9781681735719 _qhardcover |
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| 020 |
_z9781681735696 _qpaperback |
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| 024 | 7 |
_a10.2200/S00919ED1V01Y201904BME057 _2doi |
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| 035 | _a(CaBNVSL)thg00979009 | ||
| 035 | _a(OCoLC)1101044400 | ||
| 040 |
_aCaBNVSL _beng _erda _cCaBNVSL _dCaBNVSL |
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| 050 | 4 |
_aRC150 _b.S357 2019eb |
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| 060 | 4 |
_aWC 515 _bSCH332s 2019eb |
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| 082 | 0 | 4 |
_a616.203 _223 |
| 100 | 1 |
_aSchiesser, William E., _eauthor. |
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| 245 | 1 | 0 |
_aSpatiotemporal modeling of influenza : _bpartial differential equation analysis in R / _cWilliam E. Schiesser. |
| 264 | 1 |
_a[San Rafael, California] : _bMorgan & Claypool, _c[2019] |
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| 300 |
_a1 PDF (xiii, 97 pages) : _billustrations. |
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| 336 |
_atext _2rdacontent |
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| 337 |
_aelectronic _2isbdmedia |
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| 338 |
_aonline resource _2rdacarrier |
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| 490 | 1 |
_aSynthesis lectures on biomedical engineering, _x1930-0336 ; _v#57 |
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| 538 | _aMode of access: World Wide Web. | ||
| 538 | _aSystem requirements: Adobe Acrobat Reader. | ||
| 500 | _aPart of: Synthesis digital library of engineering and computer science. | ||
| 504 | _aIncludes bibliographical references and index, | ||
| 505 | 0 | _a1. PDE model formulation -- 1.1. PDE derivation -- 1.2. Initial conditions -- 1.3. Boundary conditions -- 1.4. Summary and conclusions | |
| 505 | 8 | _a2. Model implementation -- 2.1. Main program -- 2.2. ODE/MOL routine -- 2.3. Model output -- 2.4. Summary and conclusions | |
| 505 | 8 | _a3. Model analysis -- 3.1. Main program -- 3.2. Model output, no treatment -- 3.3. Model output, complete treatment -- 3.4. Model output, intermediate treatment -- 3.5. Total population analysis -- 3.6. Summary and conclusions | |
| 505 | 8 | _a4. Moving boundary model -- 4.1. Main program -- 4.2. Model output -- 4.3. Summary and conclusions | |
| 505 | 8 | _aA. Functions dss004, dss044 -- A.1. Function dss004 -- A.2. Function dss044. | |
| 506 | _aAbstract freely available; full-text restricted to subscribers or individual document purchasers. | ||
| 510 | 0 | _aCompendex | |
| 510 | 0 | _aINSPEC | |
| 510 | 0 | _aGoogle scholar | |
| 510 | 0 | _aGoogle book search | |
| 520 | 3 | _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. | |
| 530 | _aAlso available in print. | ||
| 588 | _aTitle from PDF title page (viewed on May 29, 2019). | ||
| 650 | 0 |
_aInfluenza _xMathematical models. |
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| 650 | 0 |
_aInfluenza _xComputer simulation. |
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| 650 | 0 | _aDifferential equations. | |
| 650 | 1 | 2 | _aInfluenza, Human. |
| 650 | 2 | 2 | _aComputer Simulation. |
| 650 | 2 | 2 | _aModels, Theoretical. |
| 650 | 2 | 2 | _aMathematics. |
| 653 | _acommunicable disease | ||
| 653 | _ainfluenza | ||
| 653 | _acomputer-based mathematical model | ||
| 653 | _apartial differential equation (PDE) | ||
| 653 | _amethod of lines (MOL) | ||
| 653 | _aR coding | ||
| 653 | _aspatiotemporal solutions | ||
| 653 | _atraveling wave solutions | ||
| 776 | 0 | 8 |
_iPrint version: _z9781681735719 _z9781681735696 |
| 830 | 0 | _aSynthesis digital library of engineering and computer science. | |
| 830 | 0 |
_aSynthesis lectures on biomedical engineering ; _v#57. |
|
| 856 | 4 | 2 |
_3Abstract with links to resource _uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=8710034 |
| 856 | 4 | 0 |
_3Abstract with links to full text _uhttps://doi.org/10.2200/S00919ED1V01Y201904BME057 |
| 999 |
_c562410 _d562410 |
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