Overview
- A comprehensive introduction to mathematical epidemiology accelerating from beginner to advanced research level
- Provides detailed introduction to applied dynamical systems while linking to epidemiological concepts
- Uses data to complement model development and analysis?
- Highly illustrated with exercises included at the end of each chapter
- Includes code in MATLAB for simulations and fitting
- Includes supplementary material: sn.pub/extras
Part of the book series: Texts in Applied Mathematics (TAM, volume 61)
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Table of contents (16 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
“The current book is an introductory text that starts at the level of the neophyte and gradually brings the student to the level of current research. … The target readers include advanced undergraduate and graduate students in mathematics as well as graduate students in other fields. … This is an appealing book, well-written and thoughtfully organized.” (William J. Satzer, MAA reviews, maa.org, January, 2016)
“This book does not limit itself by any means to be just an introductory level textbook, aiming actually to be a comprehensive, self-contained reference text for mathematical epidemiologists. … The presentation is example-based, well thought out and very carefully organized. … The book has the clarity of a textbook while having the depth of a monograph, the author always being successful in conveying the content of a topic regardless of its difficulty.” (Paul Georgescu, zbMATH 1333.92006, 2016)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: An Introduction to Mathematical Epidemiology
Authors: Maia Martcheva
Series Title: Texts in Applied Mathematics
DOI: https://doi.org/10.1007/978-1-4899-7612-3
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2015
Hardcover ISBN: 978-1-4899-7611-6Published: 21 October 2015
Softcover ISBN: 978-1-4899-7832-5Published: 23 August 2016
eBook ISBN: 978-1-4899-7612-3Published: 20 October 2015
Series ISSN: 0939-2475
Series E-ISSN: 2196-9949
Edition Number: 1
Number of Pages: XIV, 453
Number of Illustrations: 43 b/w illustrations, 60 illustrations in colour
Topics: Genetics and Population Dynamics, Microbiology, Infectious Diseases, Mathematical Modeling and Industrial Mathematics