Consider the competition model for rabbits R and sheep S described by dR dt ds PP analytically. = R(1200-2R-45) = S(500-2R-S) (a) Find the equilibrium points (b) Use the accompanying figure on the next page to answer the following questions. i. What do the dashed red lines represent? ii. What do the solid green lines represent? iii. Determine the stability of all the equilibrium points. iv. Suppose there are initially 500 rabbits and 400 sheep competing for food in the same area. How many of each are left after a "long" time? v. Suppose there are initially 200 rabbits and 400 sheep competing for food in the same area. How many of each are left after a "long" time?