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I was looking to simulate the discrete sir model in MATLAB and also to find stability and bifurcation graph. can anyone help me solve these problems?

Aashiq Reza
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    Hi. Welcome to SO. Please keep your questions as narrow as possible, and preferably showing what you have already tried that didn't work. That way you might get help. Thanks – Adam Winter Dec 30 '20 at 04:42

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A great source for Matlab scripts is the Mathworks file exchange. A search for the SIR model found:

https://www.mathworks.com/matlabcentral/fileexchange/75100-sir-epidemic-spread-model?s_tid=srchtitle

This should have what you're looking for (unfortunately don't have Matlab on this computer to check).

For the discrete sir equations a for loop as described in:

https://www.mathworks.com/matlabcentral/answers/325773-solving-difference-equation-with-its-initial-conditions

should be able to solve your system for fixed parameters. You're going have to do a bit of work to get the bifurcation diagram and stability. This answer:

Generate bifurcation diagram for 2D system

should get you going.

jman
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  • Thank you. This is helpful for SIR model for system of ODE. But in the case of discrete SIR model, I have to deal with system of difference equations. And to analyze the dynamics of discrete SIR model, things gonna change I guess. But I'm not finding any clue how to change and what to change. – Aashiq Reza Dec 30 '20 at 14:10