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Their numbers though seem to show they are not on the same curve as some other countries. Low/flatish daily increases, flat to lower deaths per day.

Maybe what they're doing works for them for some other reason.

EDIT: though the higher relative numbers of severe cases and deaths might indicate they don't know how many cases they really have.

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Exponentials look linear when you are on them and they are small. There are no magic answers here.

The number of people in intensive care is most certainly not growing exponentially. Please see the official statistics on https://portal.icuregswe.org/siri/report/vtfstart-corona . The number of patients admitted to intensive care daily has gone from 43 on the 23rd of March to 10 today.

The cumulative number of patients admitted to intensive care is 278, and since we had 510 intensive care before the start of the pandemic, that is not a problem at all.

Unless you have reason to believe that the ratio of patients requiring intensive care somehow has decreased radically during the course of the pandemic, the growth of cases is most certainly not exponential.

There is lag in the reporting I think. The total number of patients increased by 39 from yesterday, but those were probably assigned to multiple dates in the past. Therefore it will always look like the last few days are declining.

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