Suppose that the growth-rate parameter k = 0.3 and the carrying capacity N = 2500 in the logistic population model of Exercise 17. Suppose P(0) = 2500. (a) If 100 fish are harvested each year, what does the model predict for the longterm behavior of the fish population? In other words, what does a qualitative analysis of the model yield? (b) If one-third of the fish are harvested each year, what does the model predict for the long-term behavior of the fish population?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Suppose that the growth-rate parameter k = 0.3 and the carrying capacity N = 2500
in the logistic population model of Exercise 17. Suppose P(0) = 2500.
(a) If 100 fish are harvested each year, what does the model predict for the longterm
behavior of the fish population? In other words, what does a qualitative
analysis of the model yield?
(b) If one-third of the fish are harvested each year, what does the model predict for
the long-term behavior of the fish population?

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