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SIR Model


An SIR model is an epidemiological model that computes the theoretical number of people infected with a contagious illness in a closed population over time. The name of this class of models derives from the fact that they involve coupled equations relating the number of susceptible people S(t), number of people infected I(t), and number of people who have recovered R(t). One of the simplest SIR models is the Kermack-McKendrick model.

The Season 1 episode "Vector" (2005) of the television crime drama NUMB3RS features SIR models.


See also

Kermack-McKendrick Model

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References

Callahan, J. "The Spread of a Contagious Illness." http://maven.smith.edu/~callahan/ili/pde.html.

Referenced on Wolfram|Alpha

SIR Model

Cite this as:

Weisstein, Eric W. "SIR Model." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SIRModel.html

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