The
Biology Project > Biomath > Applications > Logistic
Population Model
Logistic Population Model
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P(t) is the population size
at time t (measured in days)
P0 is the initial population size
K is the carrying capacity of the environment
r is a constant representing population growth
or decay
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Problem G-Explain what happens to a population given different values of r.
Using this model, answer the following question.
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G.
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Given all of your observations in the previous
problems, and using the logistic model,
without any specific parameter values, explain what
happens to the population size when r > 0 and t → ∞ .
Do the same thing when r = 0 and r < 0
and t → ∞?
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A.
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If r > 0, P(t) → ∞ as t → ∞.
If r = 0, P(t) → 0 as t → ∞.
If r < 0, P(t) → – ∞ as t → ∞. |
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B.
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If r > 0, P(t) → K as t → ∞.
If r = 0, P(t) → P0 as t → ∞.
If r < 0, P(t) → 0 as t → ∞. |
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C.
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If r > 0, P(t) → ∞ as t → ∞.
If r = 0, P(t) → P0 as t → ∞.
If r < 0, P(t) → K as t → ∞. |
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D.
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If r > 0, P(t) → K as t → ∞.
If r = 0, P(t) → 0 as t → ∞.
If r < 0, P(t) → – ∞ as t → ∞. |
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E.
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If r > 0, P(t) → ∞ as t → ∞.
If r = 0, P(t) → K as t → ∞.
If r < 0, P(t) → 0 as t → ∞. |
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F.
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If r > 0, P(t) → K as t → ∞.
If r = 0, P(t) → 0 as t → ∞.
If r < 0, P(t) → P0 as t → ∞. |
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The
Biology Project > Biomath > Applications > Logistic Population
Model
The Biology Project
Department of Biochemistry and Molecular Biophysics
The University of Arizona
February 2005
Contact the Development Team
http://www.biology.arizona.edu
All contents copyright © 2005.
All rights reserved.
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