A Mathematical Modeling Approach to Infectious Diseases
Language: English
Published by World Scientific Publishing Company, 2018
- Hardcover
- Used
Seller: Phatpocket Limited, Waltham Abbey, HERTS, United KingdomPhatpocket Limited
AbeBooks seller since April 28, 2005
Condition: Used - Good
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- Title
- A Mathematical Modeling Approach to Infectious Diseases
- Author
- Schiesser W E
- Publisher
- World Scientific Publishing Company
- Publication year
- 2018
- Condition
- Good
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 981323878X
- ISBN 13
- 9789813238787
The intent of this book is to provide a methodology for the analysis of infectious diseases by computer-based mathematical models. The approach is based on ordinary differential equations (ODEs) that provide time variation of the model dependent variables and partial differential equations (PDEs) that provide time and spatial (spatiotemporal) variations of the model dependent variables.
The starting point is a basic ODE SIR (Susceptible Infected Recovered) model that defines the S, I, R populations as a function of time. The ODE SIR model is then exended to PDEs that demonstrate the spatiotemporal evolution of the S, I, R populations. A unique feature of the PDE model is the use of cross diffusion between populations, a nonlinear effect that is readily accommodated numerically. A second feature is the use of radial coordinates to represent the geographical distribution of the model populations.
The numerical methods for the computer implementation of ODE/PDE models for infectious diseases are illustrated with documented R routines for particular applications, including models for malaria and the Zika virus. The R routines are available from a download so that the reader can reproduce the reported solutions, then extend the applications through computer experimentation, including the addition of postulated effects and associated equations, and the implementation of alternative models of interest.
The ODE/PDE methodology is open ended and facilitates the development of computer-based models which hopefully can elucidate the causes/conditions of infectious disease evolution and suggest methods of control.
"Synopsis" may belong to another edition of this title.
Phatpocket Limited
Waltham Abbey, HERTS, United Kingdom
AbeBooks seller since April 28, 2005
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Phatpocket Limited is a world class secondhand bookstore located in the Hertfordshire countryside in the United Kingdom. We specialize in textbooks across an enormous variety of subjects. We aim to provide a low cost source of high quality textbooks to the academic community. We also have a sizable collection of rare and collectible books. We are dedicated to providing our customers with the highest standard of customer service in the bookselling business.Phatpocket Limited is registered in England and Wales: No. 04924751.…
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