1. Following is the Kermack – McKendrick parameters for specific diseases.
Choose a population size (say 1000), enter the values of the parameters for the disease from the table. Construct a figure that traces the number of individuals in each of the three compartments (susceptible, infected and resistant) over a period of 12 years. And thus compare each of the above diseases.
2. It is observed that a particular population was devastated by a smallpox epidemic, introduced by one of the inhabitant. It is an immunity-conferring or lethal disease. Take N = 1000(population size), b = 0.1 (transmission rate), and assume that the infective period for smallpox is two weeks. Value for p and d is 0.02 and 0.25 respectively. Compare the final size of epidemic in the two cases.
i. if the population is initially wholly susceptible and
ii. If the population is initially 60% immune.