Consider a lake that is stocked with walleye pike and that the population of pike is governed by the logistic equation P' = 0.1P (1 P 101 Where time is measured in days and P in thousands of fish. Suppose that fishing is started in the lake and that 100 fish are removed each day. Modify the differential equation to account for the fishing. Find and classify the equilibrium points for your new model. What happens to the population of fish for different initial populations?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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10. Consider a lake that is stocked with walleye pike and that the population of pike is
governed by the logistic equation
P' = 0.1P(1
P
101
Where time is measured in days and P in thousands of fish. Suppose that fishing is
started in the lake and that 100 fish are removed each day. Modify the differential
equation to account for the fishing. Find and classify the equilibrium points for your new
model. What happens to the population of fish for different initial populations?
Transcribed Image Text:10. Consider a lake that is stocked with walleye pike and that the population of pike is governed by the logistic equation P' = 0.1P(1 P 101 Where time is measured in days and P in thousands of fish. Suppose that fishing is started in the lake and that 100 fish are removed each day. Modify the differential equation to account for the fishing. Find and classify the equilibrium points for your new model. What happens to the population of fish for different initial populations?
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