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One Model for the Spread of an Epidemic Is That 50005000

Question 38

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One model for the spread of an epidemic is that the rate of spread is jointly proportional to the number of infected people and the number of uninfected people. In an isolated town of 50005000 inhabitants, 130130 people have a disease at the beginning of the week and 15001500 have it at the end of the week. How long does it take for 50%50 \% of the population to be infected?

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