about the relationship between contact distribution, probability of infection, and basic reproduction number

[avallecam]

In this paragraph:

simulist/README.Rmd

Line 97 in 4dde87c

To simulate a line list for COVID-19 with an Poisson contact distribution with a mean number of contacts of 2 and a probability of infection per contact of 0.5, we use the `sim_linelist()` function. The mean number of contacts and probability of infection determine the outbreak reproduction number, if the resulting reproduction number is around one it means we will likely get a reasonably sized outbreak (10 - 1,000 cases, varying due to the stochastic simulation).

are we referring to the relationship in slide 25 from the resource link below?
https://www.reconlearn.org/slides/compartmental-ebola/compartmental-ebola.pdf

$R_0 = \beta D = p c D$

If it does, would it add to the documentation to make this relationship visible as an equation?

or refer to this paper by Bjørnstad et al. that briefly explains that relationship in the fourth paragraph before the first system of diff equations?

[joshwlambert]

Thanks for posting this @avallecam. Yes, I believe this equation matches the simulation in {simulist} (there is no depletion of susceptibles in .sim_network_bp() for now). Where would you recommend I add this documentation in the package?