Consider the SIR model for disease control and prevention measures: immunization and quarantine pS bN S I R ds IP dR Figure 1: Transfer diagram for an SIR Vaccination model. i. Derive the system of...

Extracted text: Consider the SIR model for disease control and prevention measures: immunization and quarantine pS bN S I R ds IP dR Figure 1: Transfer diagram for an SIR Vaccination model. i. Derive the system of differential equations for the model with transfer diagram for S(0) So, I(0) = lo = 0 and R(0) = Ro = 0. ii. Explain the physical meaning of each of the parameters p, b, 2,y, d in each compartment iii. State the Ro value for this model and explain what it represents iv. Find the disease free equilibrium point v. Find the Jacobian analyse the stability of the disease free equilibrium point vi. Find an endemic equilibrium point