(a) In Problem 17, explain why it is sufficient to analyze only ds/dt = 2k 1 si...

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(a) In Problem 17, explain why it is suf­ficient to analyze only

ds/dt = 2k1si

di/dt = 2k2i + k1si.

(b) Suppose k1 = 0.2, k2 = 0.7, and n = 10. Choose various values of i(0) = i0, 0 < i0 < 10. Use a numerical solver to determine what the model predicts about the epidemic in the two cases s0 > k2/k1 and s0 ≥ k2/k1. In the case of an epidemic, estimate the number of people who are eventually infected.

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