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diffeq

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Suppose a species of fish in a particular lake has a population that is modeled by the logistic population model with growth rate k, carrying capacity N, and time t measured in years.

Suppose the growth-rate parameter k=.3 and the carrying capacity N=2500. Suppose P(0)=2500.

(a) If 100 fish are harvested each year, what does the model predict for the long-term behavior of the fish population?

(b) What if one-third of the fish are harvested?


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so the logistic equation is dp/dt=.3(1-P/2500)*P

and for (a) you subtract 100
and for (b) you subtract P/3.

I can kinda guess at the answers but i'm not sure how to show my work...

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