Applying a constant-effort model of harvesting to the

Chapter 9, Problem 14

(choose chapter or problem)

Applying a constant-effort model of harvesting to the LotkaVolterra equations (1), weobtain the systemx= x(a y E1), y= y(c + x E2).When there is no harvesting, the equilibrium solution is (c/, a/).(a) Before doing any mathematical analysis, think about the situation intuitively. How doyou think the populations will change if the prey alone is harvested? if the predator aloneis harvested? if both are harvested?(b) How does the equilibrium solution change if the prey is harvested, but not the predator(E1 > 0, E2 = 0)?(c) How does the equilibrium solution change if the predator is harvested, but not theprey (E1 = 0, E2 > 0)?(d) How does the equilibrium solution change if both are harvested (E1 > 0, E2 > 0)?