Question

VS UN S BSI/N y! - R. us ul UR

a) Determine stability conditions of the disease free equilibrium

b) Find the eigenvalues for stability for the endemic equilibrium

c) Determine stability conditions for the endemic equilibrium

d) Explore the sensitivity of the basic reproductive number to β, γ, and v

e) Explore the sensitivity of the Endemic I* to β, γ, and v

Given parameter values β=.05, γ=.03, v=.1, μ=0.002

f) Calculate the sensitivity of R0 (the basic reproductive number) to each parameter, and interpret their relative sensitivity biologically.

g) Calculate the sensitivity of the Endemic I* to each parameter, and interpret their relative sensitivity biologically.