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Spatiotemporal Modeling of Influenza - Partial Differential Equation Analysis in R (Paperback)
Loot Price: R1,662
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Spatiotemporal Modeling of Influenza - Partial Differential Equation Analysis in R (Paperback)
Series: Synthesis Lectures on Biomedical Engineering
Expected to ship within 10 - 15 working days
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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.
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