1. Basic Reproduction Number || Derivation || Next Generation Matrix|| SageMath Solution

1. Ro Python solution: • 2. Basic Reproduction ...
2. SIR Model parameter estimation with COVID-19 data: • SIR Model parameter es...
3. Epidemiological model simulation in Python: • Epidemiological model ...
This video lecture illustrates how to derive and compute the Basic Reproduction Number by the Next Generation Matrix method using SEIR Model with SageMath. Welcome and don't forget to subscribe to my Channel and recommend/share the video with others.

[@jojo-2059]

Thank you for the video. Really appreciate it. I wanted to know if you have a textbook you could recommend that covers this? As I would like to reference it for a project.

[@leticiaramirez827]

Thank you for such a nice lecture

[@lamaabdullah1937]

amazing explanation, can you please give me an interpretation about the minus signal in matrix v ? why you opposite them I'm confused with this particular part where in different literatures some of them keep minus and some of them change it to positive terms. thank you.

[@MathHandsOnwithPython]

Thanks Lama, both approach are correct, but if you went through the other approach careful you can see that they develop first a Jacobian matrix for the infection subpopulation and decomposes into sum of two matrices, that is the transmission matrix and transition matrix. After that they compute NGM by multiplying negative transmission matrix and the inverse of transition matrix which will results to the same answer.

[@lamaabdullah1937]

@@MathHandsOnwithPython Thank you so much for your reply it is very clea rnow. Another question please in your perspective what is the best method to fit those parameters correctly or at least near correct.

[@umarmuhammad8086]

Please which app did you use for the computation?

[@MathHandsOnwithPython]

SageMath

[@user-jc4yf1jt9c]

show a dataset example like you did for the beta and gamma.

[@MathHandsOnwithPython]

Watch the video for parameter estimation, few lines from bottom you can see.

[@sundayabang3309]

Nice lecture. But please how did you define your var in your code? Pls can we have more tutorials for performing sensitivity analysis in an seir model?

[@MathHandsOnwithPython]

About sensitivity analysis will be done, keep in touch by subscribing and click the bell sign so that you will get notified

[@Math_Murshid]

Respected Sir how you change the Sign of F and V vectors coordinates
From Pakistan

[@discoveryourself1353]

how we decide that this would be the F of the mathematical model

[@MathHandsOnwithPython]

Thanks for the question, I would suggest you watch the video I have explained that.

[@ranaazizyousifal-muttalibi2457]

How we compute these vectors?

[@MathHandsOnwithPython]

Hello Rana, I have shown the basic principles in computing those vector, may be what exactly do you need me to clarify so that I can make things clear. Thank you for being part of Math hands On

[@LeeG_Et]

I would like the theory of the formulation of the matrix f and v

[@MathHandsOnwithPython]

Thanks Lee for your comment, the theory for the formulation is presented in this video. Just follow from the beginning.

[@MathHandsOnwithPython]

Kindly subscribe and like the video. Thanks.

[@nanditasureshkamath5474]

Can you find F and V matrix on python?
Can python do the partial derivative step?
if so, how?

[@MathHandsOnwithPython]

Yes, its possible to find F and V matrices as far as the partial derivative, I will upload the video soon by the end of this week.

[@nanditasureshkamath5474]

@@MathHandsOnwithPython Thank you!

[@MathHandsOnwithPython]

The video for python solution is ready uploaded check it ruclips.net/video/TYJKYuaoaiw/видео.html