Texts in Applied Mathematics

Quantitative Methods for Investigating Infectious Disease Outbreaks

Authors: Yan, Ping, Chowell, Gerardo

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  • Connects key quantitative methods in mathematical epidemiology 
  • Covers contemporary topics in the field of infectious disease modeling
  • Can be used as a graduate level textbook or for special summer school courses
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eBook 51,16 €
price for Spain (gross)
  • ISBN 978-3-030-21923-9
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  • Included format: EPUB, PDF
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  • Immediate eBook download after purchase
Hardcover 62,39 €
price for Spain (gross)
  • ISBN 978-3-030-21922-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This book provides a systematic treatment of the mathematical underpinnings of work in the theory of outbreak dynamics and their control, covering balanced perspectives between theory and practice including new material on contemporary topics in the field of infectious disease modelling. Specifically, it presents a unified mathematical framework linked to the distribution theory of non-negative random variables; the many examples used in the text, are introduced and discussed in light of theoretical perspectives.

The book is organized into 9 chapters: The first motivates the presentation of the material on subsequent chapters; Chapter 2-3 provides a review of basic concepts of probability and statistical models for the distributions of continuous lifetime data and the distributions of random counts and counting processes, which are linked to phenomenological models. Chapters 4 focuses on dynamic behaviors of a disease outbreak during the initial phase while Chapters 5-6 broadly cover compartment models to investigate the consequences of epidemics as the outbreak moves beyond the initial phase. Chapter 7 provides a transition between mostly theoretical topics in earlier chapters and Chapters 8 and 9 where the focus is on the data generating processes and statistical issues of fitting models to data as well as specific mathematical epidemic modeling applications, respectively.

This book is aimed at a wide audience ranging from graduate students to established scientists from quantitatively-oriented fields of epidemiology, mathematics and statistics. The numerous examples and illustrations make understanding of the mathematics of disease transmission and control accessible. Furthermore, the examples and exercises, make the book suitable for motivated students in applied mathematics, either through a lecture course, or through self-study.  This text could be used in graduate schools or special summer schools covering research problems in mathematical biology.


About the authors

Ping Yan is the manager of a research team in modelling and projection at Public Health Agency of Canada and an adjunct professor at Department of Statistics and Actuarial Science, University of Waterloo.  He applies statistical and mathematical models in communicable diseases transmission, prevention and control, with a wide range of topics from estimation of HIV/AIDS and viral hepatitis disease burden to informing policy regarding pandemic influenza preparedness, vaccination and emergency response.

Gerardo Chowell is Professor of Epidemiology and Biostatistics at the Georgia State University School of Public Health in Atlanta, where he is also Chair of the Department of Population Health Sciences. He is also an adjunct faculty member at Arizona State University and a Senior Research Fellow at the Fogarty International Center, National Institutes of Health. His research program focuses on the development mathematical models and statistical methods to investigate the spread and control of infectious diseases. 


Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook 51,16 €
price for Spain (gross)
  • ISBN 978-3-030-21923-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 62,39 €
price for Spain (gross)
  • ISBN 978-3-030-21922-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Quantitative Methods for Investigating Infectious Disease Outbreaks
Authors
Series Title
Texts in Applied Mathematics
Series Volume
70
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Crown
eBook ISBN
978-3-030-21923-9
DOI
10.1007/978-3-030-21923-9
Hardcover ISBN
978-3-030-21922-2
Series ISSN
0939-2475
Edition Number
1
Number of Pages
XIII, 354
Number of Illustrations
11 b/w illustrations, 93 illustrations in colour
Topics