Question: 1. Consider the SIR model, (13 = 0.5SI, dt 6 = 0.5SI0.2I. dt (a) What is the mean number of effective contacts per day (transmission

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1. Consider the SIR model, (13 = 0.5SI, dt 6\" = 0.5SI0.2I. dt (a) What is the mean number of effective contacts per day (transmission rate) for this particular infectious disease? (b) What is the average duration of the infectious period (number of days contagious)? (c) Determine the mean number of secondary infections generated by a single infected person (assuming the rest of the population is susceptible). What is the appropriate term (and notation) for this value? (d) ' 7 Find the minimum vaccination rate for this infectious disease. Round the answer to the nearest (appropriate) percent

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