number 45 for section 8.3

45. In this question we will interpret the recovery rate, c, that appears in the model. Assume that a population of infected in- dividuals is quarantined (that is, they are unable to transmit the disease to others, or to catch it again once they recover). (a) Explain why under these assumptions we expect: di =-cl (8.71) (b) Assuming /(0) = 10, find I(t) by solving (8.71). (c) How long will it take for the number of infected individuals to decrease from /o to lo/2? (d) Assume that it takes 7 days for the number of infected indi- viduals to decrease from 50 to 25. Calculate the recovery rate c for this disease