Solved: (Harvesting renewable resources. Fishing) Suppose

Chapter 1, Problem 1.1.134

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(Harvesting renewable resources. Fishing) Suppose that the population y(t) of a certain kind of fish is given by the logistic equation (8), and fish are caught at a rate Hy proportional to y. Solve this so-called Schaefer model. Find the equilibrium solutions \(y_{1}\) and \(y_{2}\) (> 0) when H < A. The expression \(Y=H y_{2}\) is called the equilibrium harvest or sustainable yield corresponding to H. Why?

Text Transcription:

y_1

y_2

Y = Hy_2

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