The equation developed in the text for the spread of an epidemic also can be used to
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The equation developed in the text for the spread of an epidemic also can be used to describe diffusion of information. In a population of size N, let y be the number who have heard a particular piece of information. Then
for a positive constant k. Use this model in Exercises.
Suppose a rumor starts among 3 people in a certain office building. That is, y0 = 3. Suppose 500 people work in the building and 50 people have heard the rumor in 2 days. Using Equation (6), write an equation for the number who have heard the rumor in t days. How many people will have heard the rumor in 5 days?
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From equations 4 and 5 in Section 1 of this chapter the solutio...View the full answer
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