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4. FoI and Age-Dependence

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

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Excerpt

The force of infection (FoI) is the per capita rate at which susceptibles are exposed to infection. The FoI in the S(E)IR compartmental model (Eqs. (2.1)–(2.3) and (3.3)–(3.3)) is ϕ = βI∕N because each susceptible is assumed to contact other individuals in the population at some rate, the fraction of those contacts that are with infected individuals is I∕N, and β is by definition the contact rate times the probability of infection upon contact.1 …
This chapter uses the following R packages: splines, fields, and scatterplot3d.
A discussion of the force of infection can be found in two five minute epidemics MOOC videos:
Force of Infection https://www.youtube.com/watch?v=dj1DiqA4Lvg .
Pathogens and Extinction https://www.youtube.com/watch?v=v67gtiACBTY .
The theoretical FoI is model specific, so more complicated models may have more complicated FoIs. The FoI for the Ebola SEIHFR model of Sect. 3.10, for example, is given by rate ① in Fig. 3.9.

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previous chapter R 0
next chapter The Catalytic Model
Title
FoI and Age-Dependence
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_4
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