Plz solve this problem which is mathematics models (part 2: populations dynamics)
3 populations compete for resources. r and z compete with y, but not with each other r(4-2x-y) = dt (a) find the critical point (e e, e). use routh-hurwitz to show it is unstable (b) show that the equilibrium (0.ye, z.) ? s unstable. (c) show that the equilibrium (e,0, ze) is stable (d) show that there is no equilibrium (e ye,0) (e) show that the equilibrium (0.ye.0) ? s stable. (f) all other equilibria are unstable. what does this say about the populations as