Advertisement

Epidemics

Models and Data using R

  • Ottar N. Bjørnstad

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

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Ottar N. Bjørnstad
    Pages 1-8
  3. SIR
    Ottar N. Bjørnstad
    Pages 9-30
  4. R0
    Ottar N. Bjørnstad
    Pages 31-56
  5. Ottar N. Bjørnstad
    Pages 57-80
  6. Ottar N. Bjørnstad
    Pages 81-94
  7. Ottar N. Bjørnstad
    Pages 95-115
  8. Ottar N. Bjørnstad
    Pages 117-136
  9. Ottar N. Bjørnstad
    Pages 137-157
  10. Ottar N. Bjørnstad
    Pages 159-178
  11. Ottar N. Bjørnstad
    Pages 179-208
  12. Ottar N. Bjørnstad
    Pages 209-226
  13. Ottar N. Bjørnstad
    Pages 227-239
  14. Ottar N. Bjørnstad
    Pages 241-253
  15. Ottar N. Bjørnstad
    Pages 255-265
  16. Ottar N. Bjørnstad
    Pages 267-281
  17. Ottar N. Bjørnstad
    Pages 283-295
  18. Back Matter
    Pages 297-312

About this book

Introduction

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

Authors and affiliations

  • Ottar N. Bjørnstad
    • 1
  1. 1.Center for Infectious Disease DynamicsPensylvania State UniversityUniversity ParkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-97487-3
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-97486-6
  • Online ISBN 978-3-319-97487-3
  • Series Print ISSN 2197-5736
  • Series Online ISSN 2197-5744
  • Buy this book on publisher's site