If we modify the Lotka--Volterra equations by including a selflimiting term x2 in the

QUESTION:

If we modify the Lotka--Volterra equations by including a selflimiting term x2 in the prey equation, and then assume constanteffort harvesting, we obtain the equations x_ = x(a x y E1), y_ = y(c + x E2). In the absence of harvesting, the equilibrium solution of interest is x = c/, y = (a/) ( c)/(). a. How does the equilibrium solution change if the prey is harvested ( E1 > 0), but not the predator ( E2 = 0)? b. How does the equilibrium solution change if the predator is harvested ( E2 > 0), but not the prey ( E1 = 0)? c. How does the equilibrium solution change if both predator and prey are harvested ( E1 > 0, E2 > 0)? 1