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Update wordlist and fix spelling
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pratikunterwegs committed Apr 8, 2024
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11 changes: 11 additions & 0 deletions inst/WORDLIST
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4 changes: 2 additions & 2 deletions vignettes/theoretical_background.Rmd
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_finalsize_ provides methods to calculate the final proportion of individuals in different age groups infected during an epidemic, as predicted by an age-stratified SIR model. In this vignette we lay out the mathematical concepts behind the functionality available in the package.

## From SIR to final size with homogeous mixing
## From SIR to final size with homogeneous mixing

The dynamics of the proportion of susceptible and infectious individuals over time in the standard susceptible-infectious-recovered (SIR) epidemic model are given by the following ordinary differential equations:
$$
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\hat\phi = 1- \int_0^\infty p(x) e^{-x \hat\phi } dx
$$

## Final size equation with heterogenous mixing
## Final size equation with heterogeneous mixing

We can extend the same derivation for the above homogenous model for populations with multiple age groups, following [Andreasen et al](about:blank). The age-dependent ODEs are defined as follows:

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