Covid-19 Modelling

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For France as of 2020-07-09, the best fit SEIR model is shown as:

Optimized SEIR model for the current corona virus evolution for France

Associated operational parameters:

\(S_0\) = 2.227068e+05 cases;

\(\beta\) = 5.274387e-05 (cases days)\(^{-1}\);

\(\sigma\) = 1.222360e-02 days\(^{-1}\);

\(\gamma\) = 2.271243e-02 days\(^{-1}\).

These translate into the more familiar parameters:

R = 517.180286;

T\(_{inc}\) = 81.808935 days;

T\(_{inf}\) = 44.028764 days.

The additional initial values were:

\(E_0\) = 1.20e+01, \(I_0\) = 7.00e+00, \(R_0\) = 5.00e+00.

As a measure of quality of the convergence of the annealing algorithm, the final error measure was:

\(\epsilon\) = 1.504357e+04 cases; with a relative error, \(\epsilon/S_0\) = 6.75e-02 or 6.8%

Leslie J. Mulder
401 - 2071 Kingsway Ave,
Port Coquitlam, B.C,
Canada V3C 6N2

Copyright © 2020 Leslie J. Mulder