However that's going to go up drastically if we can't limit the rate of increase so that the medical systems can deal with it.
I've been chewing on this point for some time.
If we want to limit infections to the point where hospitals can deal with it (say 10k active cases at any time, in Italy), and cases take 20 day to resolve, that is a rate of about 500 serious cases per day, and with about 20% of cases needing hospitalization, that is 2,500 new cases per day of any severity.
Italy has 60,000,000 people, so to not swamp the health system it will take 60,000,000/2,500 = 24,000 days (or 65 years!) if everybody was to get it without swamping the health system.
Even if Italy was to grow the ability to have 100k cases in hospital, that is still 65 years.
Assume Italy can have 100k hospital beds, and only 10% of the population get infected. that's still 1200 days of full hospitals with a perfectly managed rate of transmission.
They way I see it, it will either get stamped out through infection control, or the hospital system will get swamped. There isn't a middle ground. Anybody who thinks "flattening the curve" is a workable long term plan probably hasn't done the math.
(any correction to assumptions gladly accepted!)