2. Suppose that we use the following system of equations to model the populations of rabbits and wolves: 2;: : 0.08R(1 0.0002R) 0.001RW E (ii 1There are many other ways in which the two species help each other; if you're interested in reading more, see http:/ews. nationalgeographic . comews/pf/46750145 .html. 2 70.02W + 0.00002RW (a) According to these equations, what happens to the rabbit population in the absence of wolves? (b) Find all the equilibrium solutions and explain their signicance. (c) The gure shows the phase trajectory that starts at the point (1000, 40). Describe what eventually happens to the rabbit and wolf populations. (d) Sketch graphs of the rabbit and wolf populations as functions of time. H! 70 60 50 4o . 36" y I I I 4 4 HOD 1000 1200 I401! I600