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Math 464, Worksheet 27
In the SIR model with vaccination:
b
S
b
βI/N
b
b
v
I
b
γ
R
b
1. Rebuild the model. This time use only symbolic parameters.
2. Eliminate
R
as usual.
3. Find all equilibria. Simplify your answers by introducing a
modifed growth rate parameter
ρ
=
bβ
(
b
+
v
)(
b
+
γ
)
HINTS:
•
You might do this by solving the above for
β
and then substituting.
•
You might also ±nd it convenient to replace occurrences of
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This note was uploaded on 10/12/2011 for the course MATH 464 taught by Professor Dougbullock during the Fall '08 term at Boise State.
 Fall '08
 DougBullock
 Math

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