Mathematics, 31.03.2021 14:20 matt2167

A population y(t) of fishes in a lake behaves according to the logistic law with a rate of growth per minute a = 0.003 and a limiting growth rate per minute b = 0.001. Moreover, 0.002 are leaving the lake every minute. 1.1
Write the dierential equation which is satisfied by y(t). Solve it when the initial population is of one million fishes.

1.2
Compute $\lim_{t \to \infty} y(t)$

1.3
How much time will it take to for the population to be of only 1000 fishes? What do you think about this model?

A population y(t) of fishes in a lake behaves according to the logistic law with a rate of growth p

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A population y(t) of fishes in a lake behaves according to the logistic law with a rate of growth pe...