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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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
Transcribed Image Text:dP
dt
(3 × 10-4)P², where
5) The population of rabbits on a small island is modeled by the differential equation
time is measured in years.
1.2P -
i)
Find all of the fixed points of this equation, and draw a phase diagram. Classify each fixed point as stable or
unstable.
ii)
What is the carrying capacity of the island?
iii) Suppose that at t
when the population will reach 90% of the carrying capacity. (Note: you may refer to the logistic general solution
given at the bottom of the page)
0, the population of rabbits is 1000. Find the population as a function of time, and determine
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