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Quantitative Methods for Investigating Infectious Disease Outbreaks

  • Ping Yan
  • Gerardo Chowell
Textbook

Part of the Texts in Applied Mathematics book series (TAM, volume 70)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Ping Yan, Gerardo Chowell
    Pages 1-10
  3. Ping Yan, Gerardo Chowell
    Pages 11-45
  4. Ping Yan, Gerardo Chowell
    Pages 47-77
  5. Ping Yan, Gerardo Chowell
    Pages 183-215
  6. Ping Yan, Gerardo Chowell
    Pages 217-271
  7. Back Matter
    Pages 335-354

About this book

Introduction

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.

Keywords

Disease Transmission Models Infectious Disease Data Epidemic Growth Scaling Dynamic Epidemic Models Statistical Inference in Disease Data Infectious diseases Epidemic investigation Mathematical models Stochastic processes Statistical methods Observational data Adjustments for time-length biases

Authors and affiliations

  • Ping Yan
    • 1
  • Gerardo Chowell
    • 2
  1. 1.Infectious Diseases Prevention and Control BranchPublic Health Agency of CanadaOttawaCanada
  2. 2.School of Public HealthGeorgia State UniversityAtlantaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-21923-9
  • Copyright Information Crown 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-21922-2
  • Online ISBN 978-3-030-21923-9
  • Series Print ISSN 0939-2475
  • Series Online ISSN 2196-9949
  • Buy this book on publisher's site