Question

An epidemic model satisfies the following matrix difference equation: x[k]=Ax[k-1]

Where x describes the percentages of the population in the following segments:

x=[susceptible, positive(infected), immune, deceased]’

Among the ​susceptible ​population:

5% contract the disease

95% remain susceptible

Among those testing ​positive​ for the disease:1% die

10% recover with immunity

4% recover without immunity

85% remain infected

Immune​ and ​deceased​ populations stay that way.

Use the initial condition,

a)What is the matrix, A?

b)Model the disease for 200 days and plot the traces of each of the populations.

c)How many people will die, according to this model?

Answer 1

deceased,immune,positive,susce suscep order the plots