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
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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
Suppose that vaccination strategies are implemented for newborns, so that not
ds
(1 – p)µN – BS - uS – pS
N
- pS
dt
IP
dt
- (H +7)/
N
AP
dt
pµN +yI+ pS – µV
(a) Find the basic reproduction number Ro by the nert generation matrix method.
(b) Analyze the stability of the disease-free equilibrium of this model
Transcribed Image Text:Exercise 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 Suppose that vaccination strategies are implemented for newborns, so that not ds (1 – p)µN – BS - uS – pS N - pS dt IP dt - (H +7)/ N AP dt pµN +yI+ pS – µV (a) Find the basic reproduction number Ro by the nert generation matrix method. (b) Analyze the stability of the disease-free equilibrium of this model
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