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The minimal SIR model

The minimal SIR model is a discrete stochastic model that averages to the standard SIR model. The ratio of growth to exponential growth is approximated by the logit-normal distribution. Although it makes the same assumption as the standard SIR model that the population is well-mixed it is easily extended from complete graphs to social networks.

Themes

Epidemiology, Exponential, Normal distribution

History

1927 AD Kermack & McKendrick Standard SIR model
2024 AD Mason Minimal SIR model