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,l,) = nl – apl, + C. C is a constant, p is the price of costly self-protective activities. Birth (81- h(p, h))S | Susceptible Infected Death

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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,1,) = nl – apl, + C. C is a constant, p is
the price of costly self-protective activities.
Birth
(Bh-h(p, h))St
Susceptible
Infected
Death
(a) Write down
(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,1,) = nl – apl, + C. C is a constant, p is the price of costly self-protective activities. Birth (Bh-h(p, h))St Susceptible Infected Death (a) Write down (b) Solve for the steady state infected population I*. (c) Calculate the prevalence elasticity of self-protection.
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