As an epidemic spreads through a population, the number of infected people, I, is

Chapter 4, Problem 36

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As an epidemic spreads through a population, the number of infected people, I, is expressed as a function of the number of susceptible people, S, by I = k ln $ S S0 % S + S0 + I0, for k, S0, I0 > 0. (a) Find the maximum number of infected people. (b) The constant k is a characteristic of the particular disease; the constants S0 and I0 are the values of S and I when the disease starts. Which of the following affects the maximum possible value of I? Explain. The particular disease, but not how it starts. How the disease starts, but not the particular disease. Both the particular disease and how it starts.

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