The system describing two such species can look like a modified competition system, in which the interaction terms are positive, rather than negative: x' = ar(K - x) + pry y' = by(L - y) + qry with a, b, K, L, p, q > 0. Consider the system with coefficients a = 2, K = 3, p = 1, b = 4, L =2, q =1. 1. Find the stable equilibrium points for each of the two species in the absence of the other one. 2. Find all of the equilibrium points for the system with r 2 0, y 2 0. Use linearization to determine their type and stability. 3. Use Maple to plot the phase portrait of the system. Make sure that it includes the separatrices. 4. Show that when both species are present, the sizes of their stable populations are larger than if only one of them is present, illustrating the benefit of protocooperation