Consider the pertussis bacterium

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Reference no: EM133610767

Question

Now consider the pertussis bacterium (the source of whooping cough). People get infected and once infected they can spread the disease. After a period of time they recover from the disease. But pertussis immunity is not permanent. After 4 years (actually it is a range of 4-20 years - but we will just think about the short end of the scale) you can become infected again (and be infectious while infected) . Write the set of equations based on the SIR model that account for this dynamic.

Hint: consider how we got cycles from the logistic equation by introducing a lag term (that approach will likely be helpful here).

Reference no: EM133610767

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