S-Susceptible individuals E- Exposed individuals I- Infected individuals V-Vaccinated individuals (a) Write a system of equation from the transfer diagram. (b) Given that S(to) 20, E(t)20, I(to) 20 and V(to) ≥ 0, where to is the initial time. Show that S is positive at all time t. (c) Find the disease-free equilibrium of the system. (d) Find the basic reproduction number R.
S-Susceptible individuals E- Exposed individuals I- Infected individuals V-Vaccinated individuals (a) Write a system of equation from the transfer diagram. (b) Given that S(to) 20, E(t)20, I(to) 20 and V(to) ≥ 0, where to is the initial time. Show that S is positive at all time t. (c) Find the disease-free equilibrium of the system. (d) Find the basic reproduction number R.
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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Transcribed Image Text:The diagram shows SEIV model of measles for children under pre-school.
fl
μ
(1-P)A
S
BSI
PA
E
V
O
T
I
In the transfer diagram, ^ is the rate at which individuals are born, p is the fraction of
infants who are vaccinated, ß is the rate at which susceptible individuals become infected
by those who are infectious, is the natural death rate, o is the rate at which exposed
individuals become infectious, and is the rate at which infected individuals are treated
and recovered with permanent immunity.
Transcribed Image Text:S-Susceptible individuals
E- Exposed individuals
I-Infected individuals
V-Vaccinated individuals
(a) Write a system of equation from the transfer diagram.
(b) Given that S(to) 20, E(t)20, I(to) 20 and V(to) 20, where to is the initial time. Show
that S is positive at all time t.
(c) Find the disease-free equilibrium of the system.
(d) Find the basic reproduction number R.
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