South Africa
Covid-19 Modelling

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

Optimized SEIR model for the current corona virus evolution for South Africa

Associated operational parameters:

\(S_0\) = 3.668292e+06 cases;

\(\beta\) = 3.178258e-06 (cases days)\(^{-1}\);

\(\sigma\) = 1.836744e-03 days\(^{-1}\);

\(\gamma\) = 5.971196e-02 days\(^{-1}\).

These translate into the more familiar parameters:

R = 195.250270;

T\(_{inc}\) = 544.441553 days;

T\(_{inf}\) = 16.747063 days.

The additional initial values were:

\(E_0\) = 1.00e+00, \(I_0\) = 1.00e+00, \(R_0\) = 0.00e+00.

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

\(\epsilon\) = 9.234449e+03 cases; with a relative error, \(\epsilon/S_0\) = 2.52e-03 or 0.3%

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

Copyright © 2020 Leslie J. Mulder