Consider a lake that is stocked with walleye pike and that the population of pike is governed by the logistic equation (check the image) where time is measure in days and P in thousands of fish.For part a I assumed that I needed to subtract 10 from everything, and then I drew my phase line (part b). my answers for this didnt make a lot of sense and I think that I did it wrong. Part D is the same as a and I think that I subtract .02P from everything.can you please go over this to make sure that it works? Consider a lake that is stocked with walleye pike and that the population of pike is governed by the logistic equation20where time is measure in days and P in thousands of fish.(a) Suppose that fishing is started in this lake and fish are allowed to be removed each day at the constant rate ofthousands of fish. Modify the logistic model to account for the fishing.(b) Find and classify the cquilibrium point(s) for your model in part (a). Hint: You can sketch the phase line(portrait) to help classify.(c) If the initial fish population is 2000, what happens to the fish as time passes?(d) Now suppose that 2% of the fish are allowed to be removed cach day. Modify the original logistic model toaccount for the fishing.

Answered: Image /qna-images/answer/a963735f-832d-40b5-8fd7-eddb0aaa63ab.jpg

where time is measure in days and P in thousands of fish. (n) Suppose that fishing is started in this lake and fish are allowed to be removed cach day at the constant rate of thousands of fish. Modify the logistic model to account for the fishing. (b) Find and classify the equilibrium point(s) for your model in part (a). Hint: You can sketch the phase line (portrait) to help classify. (c) If the initial fish population is 2000, what happens to the fish as time passes? (d) Now suppose that 2% of the fish are allowed to be removed cach day. Modify the original logistic model to account for the fishing.

where time is measure in days and P in thousands of fish. (n) Suppose that fishing is started in this lake and fish are allowed to be removed cach day at the constant rate of thousands of fish. Modify the logistic model to account for the fishing. (b) Find and classify the equilibrium point(s) for your model in part (a). Hint: You can sketch the phase line (portrait) to help classify. (c) If the initial fish population is 2000, what happens to the fish as time passes? (d) Now suppose that 2% of the fish are allowed to be removed cach day. Modify the original logistic model to account for the fishing.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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