1. Given the following SIR diagram, where h are some costly self-protective activities that people can take to avoid contracting the disease. h(p. 1.) = nl - aple + C. C is a constant, p is
the price of costly self-protective activities. (10 points)
Birth
A. si
(B1, - hp, I)),
Susceptible
Infected
AS,
Death
(a) Write down
(b) Solve for the steady state infected population I.
() Which parameters do I" depend on? Among these related parameters, which are inversely
related to lº?