In the recent daily UK Government presentations, the R0 Reproductive Number has been mentioned a few times, and with good reason. Its value is as a commonly accepted measure of the propensity of an infectious disease outbreak to become an epidemic.
It turns out to be a relatively simple number to define, although working back from current data to calculate it is awkward if you don’t have the data. That’s my next task, from public data.
If R0 is below 1, then the epidemic will reduce and disappear. If it is greater than 1, then the epidemic grows.
The UK Government and its health advisers have made a few statements about it, and I covered these in an earlier post.
This is a more technical post, just to present a derivation of R0, and its consequences. I have used a few research papers to help with this, but the focus, brevity(!) and mistakes are mine (although I have corrected some in the sources).
2 replies on “The SIR model and importance of the R0 Reproductive Number”
[…] I have reported my previous work a couple of times, once relating to the modelling equations, at 7 Compartment modelling, Alex Visscher, and once on the nature of the models on this kind of work, and the r0 number in particular, at SIR models and R0. […]
[…] The presentation of the R number in today’s Government update might help that awareness. My article on R0 […]