How would an SIR model need to be changed if the disease in

How would an SIR model need to be changed if the disease in question were universally lethal? How would this affect the pathogen’s ability to spread?

Figure 3: An SIR(S) compartment model showing the transmission rate B, The recovery rate y, the immunity loss rate o, and death birth rates u, and u*. For lifelong immunity (o 0) this reduces to an SIR models. For a 0 is an SIRS model.

Solution

If the disease was universally lethal then there would be no recovery in the model and eventually the pathogen would wipe out the species