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?