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Synopsis
The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of infectious diseases. It includes model building, fitting to data, local and global analysis techniques. Various types of deterministic dynamical models are considered: ordinary differential equation models, delay-differential equation models, difference equation models, age-structured PDE models and diffusion models. It includes various techniques for the computation of the basic reproduction number as well as approaches to the epidemiological interpretation of the reproduction number. MATLAB code is included to facilitate the data fitting and the simulation with age-structured models.
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About the Author
Maia Martcheva is a Professor in the Department of Mathematics at the University of Florida, USA. Her areas of interest and research include: epidemic models of multi-strain interactions, spatial epidemic modeling, immunological modeling, and immune-epidemiological modeling.
From the Back Cover
The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of infectious diseases. It includes model building, fitting to data, local and global analysis techniques. Various types of deterministic dynamical models are considered: ordinary differential equation models, delay-differential equation models, difference equation models, age-structured PDE models and diffusion models. It includes various techniques for the computation of the basic reproduction number as well as approaches to the epidemiological interpretation of the reproduction number. MATLAB code is included to facilitate the data fitting and the simulation with age-structured models.
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2015
- ISBN 10 1489976116
- ISBN 13 9781489976116
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages467
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An Introduction to Mathematical Epidemiology
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ISBN 10: 1489976116
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An Introduction to Mathematical Epidemiology
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An Introduction to Mathematical Epidemiology (Texts in Applied Mathematics, Band 61).
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