Suppose that in the absence of foxes, a rabbit population increases by 15% per year; in the absence of rabbits, a fox population decreases by 25% per year; and in equilibrium, there are 1,000 foxes and 8,000 rabbits. a) explain why the volterra-lotka equations aredr/dt = 0.15 r - 0.00015 rf, df/dt = -0.25 f + 0.3125 rfb) suppose we introduce an element of "harvesting", detrimental to the rate of growth of both prey and predator, so that the equations are modified as follows: dr/dt = 0.15 r - 0.00015 rf - 0.1 r, df/dt = -0.25 f + 0.3125 rf - 0.1 fdetermine which population is most affected by this harvesting strategy, by calculating the new equilibrium point.