Concept explainers
Spread of an Epidemic The native Hawaiians lived for centuries in isolation from other peoples. When foreigners finally came to the islands they brought with them diseases such as measles, whooping cough, and smallpox, which decimated the population. Suppose such an island has a native population of 5000 and a sailor from a visiting ship introduces measles, which has an infection rate of
a. Write an equation for the number of natives who remain uninfected. Let t represent time in days.
b. How many are uninfected after 30 days?
c. How many are uninfected after 50 days?
d. When will the maximum infection rate occur?
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Calculus For The Life Sciences
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