Question: 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

number 45 for section 8.3 45. In this question we will

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

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