Consider the discrete-time SEIR epidemic model Sa+1 = Sa + A-8nln N En + 3 Sn In = In + kE, - (y +u)In = Rn +7In – µRn En+1 %3D (u + k)E, In+1 Ra+1 where Sn, En, Is and R, denote the proportion of susceptible, latently infected, infective and removed individual at time n respectively and A is the birth rate, u the per capita natural death rate, 3 the contact rate, k is the rate at which a latently infected individual becomes infectious and y is the per capita recovery rate. (b) Show that the population is not constant and determine the population equilibrium.
Consider the discrete-time SEIR epidemic model Sa+1 = Sa + A-8nln N En + 3 Sn In = In + kE, - (y +u)In = Rn +7In – µRn En+1 %3D (u + k)E, In+1 Ra+1 where Sn, En, Is and R, denote the proportion of susceptible, latently infected, infective and removed individual at time n respectively and A is the birth rate, u the per capita natural death rate, 3 the contact rate, k is the rate at which a latently infected individual becomes infectious and y is the per capita recovery rate. (b) Show that the population is not constant and determine the population equilibrium.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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