A Traditional SIR Epidemic Model

 

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WHAT IS IT?

Here is a village somewhere in the world sometime near the end of the 1800's. Epidemics break out, and scientists like Charles Louis Alphonse Laveran, Ronald Ross, Carlos Finlay, and Walter Reed are trying to determine their cause. In this model, the disease may be spread

(1) By direct contact with infected humans.
(2) By drinking infected water.
(3) By eating tainted food.
(4) By being bitten by flying insects like mosquitos.

 

This is a traditional S-I-R model of human-to-human contact spreading a disease.  There are no daily activities or sleep intervals, and the infected do not seek medical attention.