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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 ?

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# Homework Help: Cubic Population Model with steady states

**Physics Forums | Science Articles, Homework Help, Discussion**