Careful trying to use math as your high horse, because there is actually validity in what Ratner is saying from a mathematical perspective. Marginal changes in R0 for an extremely infectious disease do not significantly affect the ultimate end state. This is because a population is limited, so exponential growth is ultimately only possible at the beginning. And logistic limiting effects are basically unimportant until a huge amount of society has been infected. This is due to the fact that, even with masking and vaccines for the entire population, the vaccine would spread with an R0 well greater than 1. That’s what actually matters. None of this feel good, I have less likelihood to give COVID to my kids when they are at home, bs. The truth is, they’ll just get it in the future.
In reality, with an R0 estimated around 5, with vaccines that are 50% effective (many studies dispute this and estimate it closer to 10-30%), you’d still need masks and social distancing to be close to 60-70% effective. Good thing the CDC, in internal modeling, estimates masking effectiveness around 20-30%. For a good summary, just read the delta predictions on the last source below. Bottom line is that it is nigh impossible to stop this with the vaccines we have.
Sources:
R0 of Delta: https://pubmed.ncbi.nlm.nih.gov/34369565/
Vaccines are not that effective after a short period of time: https://www.nature.com/articles/d41586-021-02689-y
Masking efficacy is estimated at 20-30%: (page 20)
In reality, all that these mandates do (for a shot that is not as effective as we wish it was) are draw out the inevitable - most of the population will get infected at some point. If hospitals are fine - and they ARE right now, from a national perspective - what’s the benefit to society of the blue curve vs the red one? Yeah, people are going to die. But there actually isn’t much you can do about it, and most of it really is their own choice as to whether they want to be vaccinated or not.
We should do what we can to “flatten the curve” to a level that is sustainable from a healthcare perspective. The vaccine has been extremely effective in reducing hospitalizations and death for society to a sustainable level. Curve: flattened. If we’re sustainable now, then we have won. Mandates aren’t going to help society any more, and instead will only serve as a tool to continue politicization of the masses. The only thing that would actually work is having people stay home and actually limit contact - a la China - but we’ve seen the disastrous effects of that policy on both the economy and society. Juice isn’t worth the squeeze.