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  • © 2018

Epidemics

Models and Data using R

  • Presents cutting-edge approaches to understanding infectious disease dynamics in the face of changing demographics

  • Offers a guide to working with data, models and “models-and-data” to understand epidemics and infectious disease dynamics in space and time

  • Includes hands-on examples of statistical and mathematical approaches to infectious disease dynamics

  • Includes supplementary material: sn.pub/extras

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

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eBook USD 59.99
Price excludes VAT (USA)
  • ISBN: 978-3-319-97487-3
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 79.99
Price excludes VAT (USA)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xiii
  2. Introduction

    • Ottar N. Bjørnstad
    Pages 1-8
  3. SIR

    • Ottar N. Bjørnstad
    Pages 9-30
  4. R 0

    • Ottar N. Bjørnstad
    Pages 31-56
  5. FoI and Age-Dependent Incidence

    • Ottar N. Bjørnstad
    Pages 57-80
  6. Seasonality

    • Ottar N. Bjørnstad
    Pages 81-94
  7. Time-Series Analysis

    • Ottar N. Bjørnstad
    Pages 95-115
  8. TSIR

    • Ottar N. Bjørnstad
    Pages 117-136
  9. Trajectory Matching

    • Ottar N. Bjørnstad
    Pages 137-157
  10. Stability and Resonant Periodicity

    • Ottar N. Bjørnstad
    Pages 159-178
  11. Exotica

    • Ottar N. Bjørnstad
    Pages 179-208
  12. Spatial Dynamics

    • Ottar N. Bjørnstad
    Pages 209-226
  13. Transmission on Networks

    • Ottar N. Bjørnstad
    Pages 227-239
  14. Spatial and Spatiotemporal Patterns

    • Ottar N. Bjørnstad
    Pages 241-253
  15. Parasitoids

    • Ottar N. Bjørnstad
    Pages 255-265
  16. Non-independent Data

    • Ottar N. Bjørnstad
    Pages 267-281
  17. Quantifying In-Host Patterns

    • Ottar N. Bjørnstad
    Pages 283-295
  18. Back Matter

    Pages 297-312

About this book

This book is designed to be a practical study in infectious disease dynamics. The book offers an easy to follow implementation and analysis of mathematical epidemiology. The book 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 rich history 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 in a reasonably logical way: 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.

Keywords

  • Infectious Disease Dynamics
  • Epidemics
  • Disease Modelling
  • Public Health Analysis
  • Contagions
  • Nonlinear Dynamical Systems
  • SEIR Compartmental Models
  • Recurent Epidemics
  • Time Series Analysis
  • Epidemiology
  • Endemicity
  • infectious diseases

Authors and Affiliations

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

    Ottar N. Bjørnstad

About the author

Dr. Ottar Bjornstad researches population dynamics of epidemiological and ecological outbreaks. Focal systems includes human infections like measles, whooping cough, rubella 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. His expertise has been used in an advisory capacity for outbreak control and mitigation by the USDA forest Service, the NIH Fogarty International Centre and the Bill and Melinda Gates Foundation. Dr. Bjornstad is a Distinguished Professor of Entomology and Biology and holds the J. Lloyd & Dorothy Foehr Huck Chair of Epidemiology at the Pennsylvania State University.

Bibliographic Information

  • Book Title: Epidemics

  • Book Subtitle: Models and Data using R

  • Authors: Ottar N. Bjørnstad

  • Series Title: Use R!

  • DOI: https://doi.org/10.1007/978-3-319-97487-3

  • Publisher: Springer Cham

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

  • Copyright Information: Springer Nature Switzerland AG 2018

  • Softcover ISBN: 978-3-319-97486-6

  • eBook ISBN: 978-3-319-97487-3

  • Series ISSN: 2197-5736

  • Series E-ISSN: 2197-5744

  • Edition Number: 1

  • Number of Pages: XIII, 312

  • Number of Illustrations: 62 b/w illustrations, 68 illustrations in colour

  • Topics: Biostatistics, Epidemiology, Diseases

Buying options

eBook USD 59.99
Price excludes VAT (USA)
  • ISBN: 978-3-319-97487-3
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 79.99
Price excludes VAT (USA)