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Epidemiological tag I: Derivation of the Kermack-McKendrick model
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The discrete stochastic process that is the children’s game of tag is modified to be an SIR model with some similarities to the chain binomial model of Reed-Frost. Implemented on a computer as a homogeneous Agent Based Model it is shown that, when averaged, the reproduction rate matches that of the deterministic Kermack-McKendrick model.
Title: Epidemiological tag I: Derivation of the Kermack-McKendrick model
Description:
The discrete stochastic process that is the children’s game of tag is modified to be an SIR model with some similarities to the chain binomial model of Reed-Frost.
Implemented on a computer as a homogeneous Agent Based Model it is shown that, when averaged, the reproduction rate matches that of the deterministic Kermack-McKendrick model.
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