dP dt =rP-ap² Think of a small population of fish growing in a public pond-P measures the number of fish and t measures the number of years since the pond was stocked. P' = 2P-0.01P² to allow harvesting of 75 fish per year, adapt the logistic model to handle this. That is, write a differential equation based on the logistic model that incorporates the idea of harvesting 75 fish per year. [Hint: (total rate) = (rate in) - (rate out) ]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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dP
dt
=rP-ap²
Think of a small population of fish growing in a public pond - P measures the number of fish
and t measures the number of years since the pond was stocked.
P' = 2P 0.01P²
to allow harvesting of 75 fish per year, adapt the logistic model to handle this.
That is, write a differential equation based on the logistic model that incorporates the idea of
harvesting 75 fish per year.
[Hint: (total rate) = (rate in) - (rate out) ]
Transcribed Image Text:dP dt =rP-ap² Think of a small population of fish growing in a public pond - P measures the number of fish and t measures the number of years since the pond was stocked. P' = 2P 0.01P² to allow harvesting of 75 fish per year, adapt the logistic model to handle this. That is, write a differential equation based on the logistic model that incorporates the idea of harvesting 75 fish per year. [Hint: (total rate) = (rate in) - (rate out) ]
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