Consider the following model, with a constant recruitment rate A. This means that a certain fixed number of individuals arrive into the susceptible class per unit time. Exercise dS A - BS dt dI BS- N...

Please help with question a, b and c

Extracted text: Consider the following model, with a constant recruitment rate A. This means that a certain fixed number of individuals arrive into the susceptible class per unit time. Exercise dS A - BS dt dI BS- N dt dR I- µR dt with N(t) = S(t) + I(t) + R(t). (a) Determine the population steady state N*. (b) Show that N(t) → A/u as t → o. (c) Find all equilibrium points (d) Find Ro by the usual method (e) find the basic reproduction number, Ro by the next generation matrix method. (f) Make a stability analysis of the DFE point.