Determining the exact number seems like interesting math. I imagine a function using things like transmission vector diffusion rate, windspeed, incubation peri

Determining the exact number seems like interesting math. I imagine a function using things like transmission vector diffusion rate, windspeed, incubation period, critical care percentage, number of ICU beds, and such as parameters, and outputs the maximum allowable gathering size that will keep the spread slow enough that everyone who requires hospital recovery can get admitted. Public officials could then ban public gatherings greater than 80% of that number. Seems like a paper describing it could be worth some academia brownie points.