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.
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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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