Logistic Models with Differential Equations
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
Describe the asymptotic behavior of
P
(
t
)
P(t)
P
(
t
)
in logistic growth.
QUESTION
What is logistic growth's behavior at
t
→
infinity
t \to \text{infinity}
t
→
infinity
?
QUESTION
What are the units of
r
r
r
in the logistic model
d
P
d
t
=
r
P
(
1
−
P
K
)
\frac{dP}{dt} = rP(1 - \frac{P}{K})
d
t
d
P
=
r
P
(
1
−
K
P
)
?
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ANSWER
Inverse time. Since
d
P
d
t
\frac{dP}{dt}
d
t
d
P
has units of population per time.
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