- 1. (Maximum length one page) Consider an infectious disease with the following characteristics: Individuals can exist in three states, susceptible, infected, and recovered. Once recovered, an individual cannot be re-infected and remains immune for life. - The transmission rate, t, is 1/20. - The recovery rate, k, is 1/5. - - Each person interacts randomly with others in the population and has contacts with 10 people each time period. There is no birth or death in the population. Initially all people are susceptible. No one dies from the disease and there is no treatment. a) Draw a compartmental model for this infectious disease. b) Calculate the initial reproduction number for this infectious disease. c) Suppose that one person in the population became infected with this disease. Explain your level of concern about a widespread outbreak. d) Calculate the fraction of people that will be susceptible to infection when the outbreak reaches its peak. e) Suppose that a fully effective vaccine is available for this infectious disease. What fraction of the population would need to be vaccinated in order to achieve herd immunity before the outbreak begins?
- 1. (Maximum length one page) Consider an infectious disease with the following characteristics: Individuals can exist in three states, susceptible, infected, and recovered. Once recovered, an individual cannot be re-infected and remains immune for life. - The transmission rate, t, is 1/20. - The recovery rate, k, is 1/5. - - Each person interacts randomly with others in the population and has contacts with 10 people each time period. There is no birth or death in the population. Initially all people are susceptible. No one dies from the disease and there is no treatment. a) Draw a compartmental model for this infectious disease. b) Calculate the initial reproduction number for this infectious disease. c) Suppose that one person in the population became infected with this disease. Explain your level of concern about a widespread outbreak. d) Calculate the fraction of people that will be susceptible to infection when the outbreak reaches its peak. e) Suppose that a fully effective vaccine is available for this infectious disease. What fraction of the population would need to be vaccinated in order to achieve herd immunity before the outbreak begins?
Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter16: Information, Risk, And Insurance
Section: Chapter Questions
Problem 3SCQ: Why is it difficult to measure health outcomes?
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economics/epidemology
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1. (Maximum length one page)
Consider an infectious disease with the following characteristics:
Individuals can exist in three states, susceptible, infected, and recovered. Once recovered, an individual
cannot be re-infected and remains immune for life.
- The transmission rate, t, is 1/20.
- The recovery rate, k, is 1/5.
-
-
Each person interacts randomly with others in the population and has contacts with 10 people each
time period.
There is no birth or death in the population.
Initially all people are susceptible.
No one dies from the disease and there is no treatment.
a) Draw a compartmental model for this infectious disease.
b) Calculate the initial reproduction number for this infectious disease.
c) Suppose that one person in the population became infected with this disease. Explain your level of
concern about a widespread outbreak.
d) Calculate the fraction of people that will be susceptible to infection when the outbreak reaches its peak.
e) Suppose that a fully effective vaccine is available for this infectious disease. What fraction of the
population would need to be vaccinated in order to achieve herd immunity before the outbreak begins?
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