A new virus emerges in a population. Each day, 10% of the susceptible population becomes
Chapter 12, Problem 12.5.9(choose chapter or problem)
A new virus emerges in a population. Each day, 10% of the susceptible population becomes infected, and 50% of the infected population recovers. Additionally, 2% of the recovered population becomes reinfected. Let p = (s, i, r) be a population vector where s is the number of susceptible (never-infected) people, i is the number of infected people, and r is the number of recovered people, all numbers in millions. Assume that initially p0 = (2, 0, 0). (a) Find a matrix T such that p new = Tp old where p old is the starting population and p new is the population a day later. (b) Find p1 , p2 , and p3 , the populations on days 1, 2, and 3, respectively. 10. A ce
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