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Consider the model xn+1 = xn +

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Consider the model x_n+1 = x_n + .05x_n (1 – x_n/M) for disease spread in a closed population where everyone is able to get the disease.

a) What does M represent?

b) Explain in words what .05 represents in terms of spread.

c) The CDC claims that this is not a good model because the disease is more transmissible than you think. How could you change the current model to make it better? Explain your choice of change in the model.