In this problem we apply a constant-yield model of

Chapter 9, Problem 16

(choose chapter or problem)

In this problem we apply a constant-yield model of harvesting to the situation in Example 1.Consider the systemx= x(1 0.5y) H1, y= y(0.75 + 0.25x) H2,where H1 and H2 are nonnegative constants. Recall that if H1 = H2 = 0, then (3, 2) is anequilibrium solution for this system.(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(H1 > 0, H2 = 0)?(c) How does the equilibrium solution change if the predator is harvested, but not theprey (H1 = 0, H2 > 0)?(d) How does the equilibrium solution change if both are harvested (H1 > 0, H2 > 0)?