Derec
Contributor
Over 70,000 daily case count now for the US. Any thoughts on what this will peak at?
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I do not know what it will peak at - best guess under 100k and about the beginning of August.
If you look at daily cases, they are increasing linearly, not exponentially. That suggest an R that is close to 1. But as more people get infected, they will develop immunity (at least for a while, but memory T and B cells mean likely ongoing immunity in absence of serum antibodies) and thus R will go lower. Since R is close to 1 already, due to a combination of social distancing, mask and other measures and the acquired immunity, it will not take long for it to go below 1.
I think this immunity, let's call it partial herd immunity, is a big reason why states like NY and NJ are enjoying low daily numbers now. Now you may object that the percentage of people who have been infected is not nearly high enough to ensure full herd immunity, and you are right.
However, there are two things that help here
- social distancing, etc.: people are not behaving like we did in February, there is still social distancing going on, reducing R0 which is reproductive rate of a "virgin" population. R itself gets lower as more people get infected the number of susceptible people decreases. What is needed is an sustained R<1 for the outbreak to die down, and R is calculated by multiplying R0 by the fraction of population that is susceptible.
- Related to the above, but a bit more in depth: not everybody has the same risk of exposure. People working essential jobs involving contact with the public as well as those who are willing to take more risks going out and being around people for fun (as opposed to for work) are going to constitute a higher fraction of infections, both past and future, than people who avoid possible exposure as much as possible. The raw fraction of people who are susceptible then is not good enough - effective fraction of those susceptible is a better model, where a weighed average based on risk is taken. Therefore the effective fraction susceptible is lower than the raw number.
To reiterate, I think the daily number of cases will probably start dropping around the 1st of August because R is already very close to 1 (no exponential growth evident) and as more people get infected, the fraction of those who are susceptible drops as well, along with R.