How is the Jacobian Matrix Constructed in Epidemiological Models?
In typical epidemiological models like the SIR (Susceptible, Infected, Recovered) or SEIR (Susceptible, Exposed, Infected, Recovered) models, the Jacobian matrix is constructed by taking partial derivatives of the system's differential equations. For instance, in an SIR model, the Jacobian matrix at a disease-free equilibrium can be used to determine the basic reproduction number \( R_0 \).
