The paper 'A SIR model assumption for the spread of COVlD-19 in different communities' was published in 2020. The authors (Cooper, Mondal, and Antonopoulos) created SIR model predictions for various countries. The threshold values for three countries, as a decimal representation of total town population", are given in the table below, pulled from data in the paper. {*50, if the table threshold value was 0.05, then for a town of 100 people, the threshold value is 5.} m Threshold Value 0-263 'EEE- m 0-200 For each of the three countries, consider a town of population of 10000. Answer the following questions for such a town in each country: a) If all but 2500 citizens in the town are vaccinated when COVID-19 began to infect the town, would there be an epidemic in the town? b) Sketch the trajectory on the SI phase plane, assuming an initial situation where half the town is vaccinated, and 500 people are infected