How do the COVID-19 cases trend? Not exponential

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I have been trying to make sense of the COVID-19 data and could use some suggestions on the topic.

More details:

I am modeling the number of cases C = k*exp(Ax),

Where:

k = constant

A = constant

x = the day for which the data is to be extrapolated from the model.

The US trend is super-exponential (I just made that word up since I don't know what the right word is), i.e. it is exponential, but the exponent is increasing.

You can look at this google chart for an example of my model.

I am looking to find the right mathematical model, not the reasoning behind the data.

Thank you.

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logicalcliff

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