Suppose that in the prey population x is governed by the logistic model when y = 0, reflecting the fact that the food supply for the prey is limited. The modified predatory-prey model is now: x' = ax(1 - x) - bxy ; y'=-cy + dxy. Setting a = 2, b = d = 1, c = 0.5, find the nonzero equilibrium point in the first quadrant and show that it is asymptotically stable, i.e., no solutions of this system are periodic. What does this physically means to the system?