Acertain species of fish in a large lake is harvested. The differential equation used to model the

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Acertain species of fish in a large lake is harvested. The differential equation used to model the population, x(t) in hundreds of thousands, is given by dx dt = x


1 −

x 5

hx 0.2 + x

.

Determine and classify the critical points and plot a bifurcation diagram.

How can the model be interpreted in physical terms?

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