Question 26 . An infectious disease has a reproductive ratio Ro =2.8. Infectious individuals remain contagious for a week, during which they infect 2.8 individuals on average. Assume that in a large community, 2.8 individuals have the disease in the first round of infections. If all individuals can move freely and no restrictions or health measures are implemented in the population: 1. Derive the generic formula that shows the number of individuals that will be newly infected in round n 2. Determine how many individuals will have been infected, in total, after the 27th round of infections. 3. Assume that, by successfully implementing a vaccination policy, the rate of infection could have been reduced by 51%. How many individuals would have been infected, in total after round 27 with a successful vaccination policy? Compare this result with your answer in part 2.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Question 26 .
An infectious disease has a reproductive ratio Ro =2.8. Infectious individuals remain
contagious for a week, during which they infect 2.8 individuals on average. Assume
that in a large community, 2.8 individuals have the disease in the first round of
infections.
If all individuals can move freely and no restrictions or health measures are
implemented in the population:
1. Derive the generic formula that shows the number of individuals that will be
newly infected in round n
2. Determine how many individuals will have been infected, in total, after the
27th round of infections.
3. Assume that, by successfully implementing a vaccination policy, the rate of
infection could have been reduced by 51%. How many individuals would have
been infected, in total after round 27 with a successful vaccination policy?
Compare this result with your answer in part 2.
NOTE: The result does NOT need to be an integer number.
Transcribed Image Text:Question 26 . An infectious disease has a reproductive ratio Ro =2.8. Infectious individuals remain contagious for a week, during which they infect 2.8 individuals on average. Assume that in a large community, 2.8 individuals have the disease in the first round of infections. If all individuals can move freely and no restrictions or health measures are implemented in the population: 1. Derive the generic formula that shows the number of individuals that will be newly infected in round n 2. Determine how many individuals will have been infected, in total, after the 27th round of infections. 3. Assume that, by successfully implementing a vaccination policy, the rate of infection could have been reduced by 51%. How many individuals would have been infected, in total after round 27 with a successful vaccination policy? Compare this result with your answer in part 2. NOTE: The result does NOT need to be an integer number.
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