An epidemic reported by the British Communicable Disease Surveillance Center in the British Medical Journal (March 4, 1978, p. 587) took place in a boarding school with 763 residents. t The statistics for the infected population are shown in the graph in Figure 5.25. Assuming that the average duration of the infection is 2 days, use a numerical differential equation solver such as the Web-based one described in Example 2 to try to reproduce the data Take S(0) = 762, I(0) = 1, R(0) = 0 as initial conditions Experiment with reasonable estimates for the average number of contacts per day by the infected students, who were confined to bed after the infection was detected What value of this parameter seems to fit the curve best? An epidemic reported by the British Communicable Disease Surveillance Center in the British Medical Journal (March 4, 1978, p. 587) took place in a boarding school with 763 residents. t The statistics for the infected population are shown in the graph in Figure 5.25. Assuming that the average duration of the infection is 2 days, use a numerical differential equation solver such as the Web-based one described in Example 2 to try to reproduce the data Take S(0) = 762, I(0) = 1, R(0) = 0 as initial conditions Experiment with reasonable estimates for the average number of contacts per day by the infected students, who were confined to bed after the infection was detected What value of this parameter seems to fit the curve best