Exercise Suppose that vaccination strategies are implemented for newborns, so that not all newborns are considered susceptible. If the vaccination rate per capita is p, then a newborn becomes vaccinated with probability p. The modified model now takes the form ds (1 – p)µN – BS- - uS – pS dt N. dI = BS-- (u+)! dt AP pµN +I+ pS – µV dt (a) Find the basic reproduction number Ro by the next generation matrix method. (b) Analyze the stability of the discase-free equilibrium of this model
Exercise Suppose that vaccination strategies are implemented for newborns, so that not all newborns are considered susceptible. If the vaccination rate per capita is p, then a newborn becomes vaccinated with probability p. The modified model now takes the form ds (1 – p)µN – BS- - uS – pS dt N. dI = BS-- (u+)! dt AP pµN +I+ pS – µV dt (a) Find the basic reproduction number Ro by the next generation matrix method. (b) Analyze the stability of the discase-free equilibrium of this model
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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