Question

Suppose that t weeks after the start of an epidemic in a certain community, the number P(t) of people who have caught the disease is given by the logistic curve P(t) = 1500 5 + 295 e-0.9t (a) How many people had the disease when the epidemic began? (b) Approximately how many people in total will get the disease? (c) When was the disease spreading most rapidly? (d) How fast was the disease spreading at the peak of the epidemic? (e) When did the spread of the disease start to slow down? (f) What is the differential equation for P(t)? (g) By the time 200 people had had the disease, what was the rate at which the disease was spreading?

Answer 1