Question: Investigate the harvesting model in Problem 5 both qualitatively and analytically in the case a = 5, b = 1, h = 25/4 . Determine

Investigate the harvesting model in Problem 5 both qualitatively and analytically in the case a = 5, b = 1, h = 25/4 . Determine whether the population becomes extinct infi­nite time. If so, ­find that time.


Data from 5

If a constant number h of fish are harvested from a fishery per unit time, then a model for the population P(t) of the fishery at time t is given by

dP dt Р(а — БР) — һ, Р(0) %3D Ро. P(0) = Po,

dP dt ( ) , (0) %3D . P(0) = Po,

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Solving P5 P 254 0 for P we obtain the equilibrium solution P 52 For P 52 dPdt 0 Thu... View full answer

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