Harvesting renewable resources. Fishing. Suppose that the population y(t) of a certain kind of fish is given by the logistic equation (11), and fish are caught at a rate Hy proportional to y. Solve this so-called Schaefer model. Find the equilibrium solutions y1 and y2 (> 0) when H < A. The expression Y = Hy2 is called the equilibrium harvest or sustainable yield corre- sponding to H. Why? リy =Ag-@g

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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 (11), and fish are caught at a
rate Hy proportional to y. Solve this so-called Schaefer
model. Find the equilibrium solutions y1 and y2 (> 0)
when H < A. The expression Y = Hy2 is called
the equilibrium harvest or sustainable yield corre-
sponding to H. Why?
リy =Ag-@g
%3D
Transcribed Image Text:Harvesting renewable resources. Fishing. Suppose that the population y(t) of a certain kind of fish is given by the logistic equation (11), and fish are caught at a rate Hy proportional to y. Solve this so-called Schaefer model. Find the equilibrium solutions y1 and y2 (> 0) when H < A. The expression Y = Hy2 is called the equilibrium harvest or sustainable yield corre- sponding to H. Why? リy =Ag-@g %3D
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