In the Lotka-Voltera model, the predator-prey interaction is described as: dX/dt = rX - aXY dY/dt = eaXY - mY where X and Y are prey and predator densities, r is the intrinsic population growth rate of prey, a is the capture efficiency of predator, e is the birth rate of predator, and m is the natural mortality of predator. In this question, let r = 4.0, a = 0.2, e = 2.0, and m = 0.2. The prey population.