Fitcovid19 program - Milan Batista

Dear all,

I took my time this days to study the program developed by Milan Batist for COVID19.

I really appreciate this work, it is an excelent outcome and a very good informational source for students, like me.

Regarding this program, I would like to receive some advices from people with much more experience than me. Even if Mila Batista would be the most entitled to responde to my questions, I know that on this forum, there are many skilfull persons, that could responde to these.

1) Basically, I would like to adapt to program to run for SIS and SIRS models.

Do you have some recomendations?

2) I suppose, at least the following equation should be modified. What is this equation generated like, based on the 3 SIR equations? I couldn't find a relationship between the SIR equations and this one.

dCdt = N*(1 - c)*(beta*c + gamma*log((1 - c)/(1 - c0)));

3) Also, the starting values for k,r,A have some specific formulas in the iniguess function, that does not seem to be similar with those I have found described in the logistic growth model.

4) What are these kind of functions based on? Can you indicate me the mathematics theory?

%CALCINFLECTIONPOINT Calculate inflection point for density curve

cm = 1 + (gamma/2/beta)*...

flambertw(-1, -2*beta*(1 - c0)*exp(-(1 + beta/gamma))/gamma);

Thank you very much!

[Star Strider]

Attach the PDF of the peper you are referring to.

[Luiza]

Hello,

This is the reference for the program:

https://www.mathworks.com/matlabcentral/fileexchange/74676-fitviruscv19v3-covid-19-sir-model

Also, some explanations are given here, including the logistic growh model (although, this paper seems to apply to an older version of the program):https://www.researchgate.net/publication/339311383_Estimation_of_the_final_size_of_the_coronavirus_epidemic_by_the_SIR_model

Thank you!