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, It) = nl - apl + C. C is a constant, p is the price of costly self-protective activities. Birth (Bl -h(p, I))St Susceptible Infected Ms St Death as (a) Write down dt - (b) Solve for the steady state infected population I*. (c) Calculate the prevalence elasticity of self-protection.

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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, I) = nl - apl + C. C is a constant, p is
the price of costly self-protective activities.
Birth
(BI, – h(p, l))S.
Susceptible
Infected
Ads St
Death
ds
(a) Write down
dt
(b) Solve for the steady state infected population I*.
(c) Calculate the prevalence elasticity of self-protection.
Transcribed Image Text: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, I) = nl - apl + C. C is a constant, p is the price of costly self-protective activities. Birth (BI, – h(p, l))S. Susceptible Infected Ads St Death ds (a) Write down dt (b) Solve for the steady state infected population I*. (c) Calculate the prevalence elasticity of self-protection.
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