Cubic Population Model with steady states !! I am unsure as what this question means: Consider the cubic population model: dN/dt = cN(N-k)(1-N) where c>0 and 0<k<1 If the the initial populations is N_0 describe without proof the future of the population, distinguish the various cases on the size of N_0 relative to the steady states N_1, N_2 and N_3. Now I have found and classified the 3 steady states. But am not sure how to proceed. Solving the equation does not seem to be feasible so what do I do ?