Find the maximum harvest from a population following the discrete-time dynamical system
Nt + 1 = rNt(1 - Nt) - hNt
for the given values of r.
a. Find the equilibrium population as a function of h. What is the largest h consistent with a positive equilibrium?
b. Find the equilibrium harvest as a function of h.
c. Find the harvesting effort that maximizes harvest.
d. Find the maximum harvest.
1. r = 2.0.
2. r = l.5.