Question: (a) In Problem 17, explain why it is sufficient to analyze only ds/dt = 2k 1 si di/dt = 2k 2 i + k 1

(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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