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2. SIR

  • 2023
  • OriginalPaper
  • Chapter
Published in:
Author
Ottar Bjørnstad
Published in
Epidemics
Publisher
Springer International Publishing

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Abstract

The following 10 chapters are devoted to the study of patterns of infection over time and age. The current chapter introduces the basics of compartmental modeling of transmission dynamics. This is followed by a chapter with in-depth discussion of the reproduction number, R 0, which is the most important quantity for understanding epidemics of infectious agents. The subsequent chapters detail the importance of age structure and seasonality in shaping epidemics and pandemics as well as several important time series methods for characterizing and understanding temporal recurrence patterns of infection. The last two chapters explore how ideas from dynamical systems theory can help explain several very curious aspects of the waxing and waning of infection through time.
This chapter uses the following R packages: deSolve, phaseR, and shiny . A conceptual understanding of reproduction numbers and the simple epidemic is useful. Five minute epidemics MOOC introductions are: Reproduction number https://www.youtube.com/watch?v=ju26rvzfFg4 . Closed epidemic https://www.youtube.com/watch?v=sSLfrSSmJZM . The sir.app shinyApp provides an interactive interface as part of the epimdr2 package .

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previous chapter Introduction
next chapter R 0
Title
SIR
Author
Ottar Bjørnstad
Copyright Year
2023
Book
Epidemics

Print ISBN: 978-3-031-12055-8

Electronic ISBN: 978-3-031-12056-5

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-3-031-12056-5_2
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