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May 22, 2024

A virus circulating a population of a million people, who have a normal mortality

General Question

A virus circulating a population of a million people, who have a normal mortality

rate of 10^-6/week. The virus has a transmission rate of 10^-5 per week. Those who are infected

cause additional mortality at a rate of 0.1/week (10% of cases per week), and everyone who

survives recovers within one week (a recovery rate of 1/week), and gain immunity. What is the

minimum number of people in this population of a million who would need to be vaccinated to

reverse the spread of the disease?

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