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Epidemics

Models and Data Using R

  • Book
  • © 2023

Overview

Authors:
  1. Ottar N. Bjørnstad

    1. Center for Infectious Disease Dynamics, Pennsylvania State University, University Park, USA

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  • Presents clearer infectious disease dynamics in the face of changing demographics and interventions
  • Offers an in-depth guide to understand epidemics and infectious disease dynamics in space and time
  • Includes hands-on examples of statistical and mathematical approaches to infectious disease dynamics

Part of the book series: Use R! (USE R)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xv
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  2. Introduction

    • Ottar Bjørnstad
    Pages 1-8

  3. Time

    1. Front Matter

      Pages 9-9
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    2. SIR

      • Ottar Bjørnstad
      Pages 11-32

    3. R 0

      • Ottar Bjørnstad
      Pages 33-65

    4. FoI and Age-Dependence

      • Ottar Bjørnstad
      Pages 67-85

    5. The Catalytic Model

      • Ottar Bjørnstad
      Pages 87-103

    6. Seasonality

      • Ottar Bjørnstad
      Pages 105-119

    7. Time Series Analysis

      • Ottar Bjørnstad
      Pages 121-141

    8. TSIR

      • Ottar Bjørnstad
      Pages 143-163

    9. Stochastics

      • Ottar Bjørnstad
      Pages 165-184

    10. Stability and Resonant Periodicity

      • Ottar Bjørnstad
      Pages 185-207

    11. Exotica

      • Ottar Bjørnstad
      Pages 209-237

  4. Space

    1. Front Matter

      Pages 239-239
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    2. Spatial Dynamics

      • Ottar Bjørnstad
      Pages 241-260

    3. Spatial and Spatiotemporal Patterns

      • Ottar Bjørnstad
      Pages 261-273

    4. Transmission on Networks

      • Ottar Bjørnstad
      Pages 275-293

    5. Invasion and Eradication

      • Ottar Bjørnstad
      Pages 295-316

  5. Miscellany

    1. Front Matter

      Pages 317-317
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    2. Parasitoids

      • Ottar Bjørnstad
      Pages 319-329
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Keywords

About this book

This book is designed to be a practical study in infectious disease dynamics. It offers an easy-to-follow implementation and analysis of mathematical epidemiology. It focuses on recent case studies in order to explore various conceptual, mathematical, and statistical issues. The dynamics of infectious diseases shows a wide diversity of pattern. Some have locally persistent chains-of-transmission, others persist spatially in consumer-resource metapopulations. Some infections are prevalent among the young, some among the old and some are age-invariant. Temporally, some diseases have little variation in prevalence, some have predictable seasonal shifts and others exhibit violent epidemics that may be regular or irregular in their timing.

Models and ‘models-with-data’ have proved invaluable for understanding and predicting this diversity, and thence help improve intervention and control. Using mathematical models to understand infectious disease, dynamics has a very richhistory in epidemiology. The field has seen broad expansions of theories as well as a surge in real-life application of mathematics to dynamics and control of infectious disease. The chapters of Epidemics: Models and Data Using R have been organized as follows: chapters 1-10 is a mix and match of models, data and statistics pertaining to local disease dynamics; chapters 11-13 pertains to spatial and spatiotemporal dynamics; chapter 14 highlights similarities between the dynamics of infectious disease and parasitoid-host dynamics; Finally, chapters 15 and 16 overview additional statistical methodology useful in studies of infectious disease dynamics.


This book can be used as a guide for working with data, models and ‘models-and-data’ to understand epidemics and infectious disease dynamics in space and time. All the code and data sets are distributed in the epimdr2 R package to facilitate the hands-on philosophy of the text.

Authors and Affiliations

  • Center for Infectious Disease Dynamics, Pennsylvania State University, University Park, USA

    Ottar N. Bjørnstad

About the author

Ottar Bjornstad researches population dynamics of epidemiological and ecological outbreaks. Focal systems includes human infections like measles, whooping cough, rubella, SARS-CoV-2 and influenza; animal infections like rabies, hantavirus and distemper; and outbreaks of various insects of biomedical and agricultural concern. He has expertise in statistical and computational approaches to the study of spatiotemporal dynamics, including the development of a suite of statistical methods for the analysis of spatial and temporal data as implemented in various R packages. Dr. Bjornstad is a Distinguished Professor of Entomology and Biology holds the J. Lloyd & Dorothy Foehr Huck Chair of Epidemiology at the Pennsylvania State University and is an elected fellow of the Norwegian Academy of Science and Letters, American Association for the Advancement of Sciences and the Ecological Society of America.

Bibliographic Information

  • Book Title: Epidemics

  • Book Subtitle: Models and Data Using R

  • Authors: Ottar N. Bjørnstad

  • Series Title: Use R!

  • DOI: https://doi.org/10.1007/978-3-031-12056-5

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Softcover ISBN: 978-3-031-12055-8Published: 14 December 2022

  • eBook ISBN: 978-3-031-12056-5Published: 13 December 2022

  • Series ISSN: 2197-5736

  • Series E-ISSN: 2197-5744

  • Edition Number: 2

  • Number of Pages: XV, 387

  • Number of Illustrations: 80 b/w illustrations, 75 illustrations in colour

  • Topics: Statistics for Life Sciences, Medicine, Health Sciences, Epidemiology, Infectious Diseases

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