Find the maximum harvest, Find the maximum harvest.

Find the maximum harvest

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Reference no: EM1317121

Question: Determine the maximum harvest from a population following the discrete time dynamical system:

Nt+1 = rNt(1 - Nt) - hNt

If r = 1.5

[A] Find the equilibrium harvest as a function of h.

[B] Find the maximum harvest.

[C] Find the harvesting effort that maximizes harvest.

[D] Find the equilibrium population as a function of h. What is the largest h consistent with a positive equilibrium?

Reference no: EM1317121

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