For the US as of 20200709, the best fit SEIR model is shown as:


Optimized SEIR model for the current corona virus evolution for the US
Associated operational parameters:
\(S_0\) = 1.048884e+07 cases;
\(\beta\) = 2.059629e06 (cases days)\(^{1}\);
\(\sigma\) = 2.992558e03 days\(^{1}\);
\(\gamma\) = 1.496414e02 days\(^{1}\).
These translate into the more familiar parameters:
R = 1443.658953;
T\(_{inc}\) = 334.162261 days;
T\(_{inf}\) = 66.826440 days.
The additional initial values were:
\(E_0\) = 1.50e+01, \(I_0\) = 1.20e+01, \(R_0\) = 3.00e+00.
As a measure of quality of the convergence of the annealing algorithm, the final error measure was:
\(\epsilon\) = 7.351241e+04 cases; with a relative error, \(\epsilon/S_0\) = 7.01e03 or 0.7%
