A wilderness preserve in northern Ontario has a population of deer (D) and moose (M1). We can predict the change in populations of these species using the Lotka-Volterra competition model: D' = 3.2D - 0.4D' - 0.8DM M' = 1M - 0.2M- - 1DM First, we'll find the nullclines of this system. There are two D-nullclines: D =0 and M = (3.2-0.4D)/(0.8) There are two M-nullclines: M =0 and M = (1-1D)/(0.2) Solving for M will make graphing easier.) Next, list the four equilibria of the system in increasing order of their D-coordinates. (D1, Mi) = (0, 0) (D2, M2) = ( (D3, M3) = ( (DA, MA) = ( Now, graph the nullclines and equilibria (you will have to draw your graph on the written homework). Make D your horizontal axis. Then, use test points to determine the direction of the change vectors in each sector and along each nullcline. Use this information to classify the equilibria. (D1, M1): (D2, M2) (D3, M3): (DA, MA)