Spatiotemporal modeling of influenza : : partial differential equation analysis in R /
By: Schiesser, William E [author.].
Material type:
BookSeries: Synthesis digital library of engineering and computer science: ; Synthesis lectures on biomedical engineering: #57.Publisher: [San Rafael, California] : Morgan & Claypool, [2019]Description: 1 PDF (xiii, 97 pages) : illustrations.Content type: text Media type: electronic Carrier type: online resourceISBN: 9781681735702.Subject(s): Influenza -- Mathematical models | Influenza -- Computer simulation | Differential equations | Influenza, Human | Computer Simulation | Models, Theoretical | Mathematics | communicable disease | influenza | computer-based mathematical model | partial differential equation (PDE) | method of lines (MOL) | R coding | spatiotemporal solutions | traveling wave solutionsDDC classification: 616.203 Online resources: Abstract with links to resource | Abstract with links to full text Also available in print.| Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
E books
|
PK Kelkar Library, IIT Kanpur | Available | EBKE910 |
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Part of: Synthesis digital library of engineering and computer science.
Includes bibliographical references and index,
1. PDE model formulation -- 1.1. PDE derivation -- 1.2. Initial conditions -- 1.3. Boundary conditions -- 1.4. Summary and conclusions
2. Model implementation -- 2.1. Main program -- 2.2. ODE/MOL routine -- 2.3. Model output -- 2.4. Summary and conclusions
3. 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
4. Moving boundary model -- 4.1. Main program -- 4.2. Model output -- 4.3. Summary and conclusions
A. Functions dss004, dss044 -- A.1. Function dss004 -- A.2. Function dss044.
Abstract freely available; full-text restricted to subscribers or individual document purchasers.
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This 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.
Also available in print.
Title from PDF title page (viewed on May 29, 2019).
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