Adjust the model of Project 5 so that the simulation is allowed to run for a while before quarantine and isolation measures that reduce R to below 1 are instituted. Discuss the implications on the number of people quarantined and on the health care system of not taking aggressive measures initially.

Project 5

Complete the Lipsitch SARS model introduced in the text. Have the model evaluate R. Produce graphs and a table of appropriate populations, including susceptible, recovered_immune, SARS_death, and the total of the five categories of infecteds. Employ the following parameters: k = 10/day; b = 0.06; 1/p = 5 days; v = 0.04, m = 0.0975, and w = 0.0625, so that v + m + w = 0.2/day and 1/(v + m + w) = 5 days; 1/u = 10 days; N0 = 10,000,000 people. Vary q from 0 upward. Note that in each case, the graph of the number of susceptibles appears logistic and the solution eventually reaches equilibrium. Describe the shapes of the graphs and discuss the results.