Question 17. [12 points] Consider the population model dt = (15 - 3x)y dy dt = (-6 + 2y)x (a) Find all biologically meaningful equilibria. (b) Compute the Jacobian at each equilibria. (c) For each of the biologically meaningful equilibria from (a), find the eigenvalues of the Jacobian matrix. (d) Classify each equilibrium. (e) Draw the nullclines in the region 2 2 0, y 2 0. On each nullcline and in each region between nullclines, indicate at least one direction arrow. (f) If the initial population is x = 1, y = 1 does the system converge to a specific value? If yes what is it