$\displaystyle \frac{dp}{dt} = bp(p-a)+c-fp^{3}, p(0) = p_{0} $

use the parameter values a=-3/4, b = 42, c =-81, f=10

i) Find the steady states of the differential equation and determine wheather each one is linearly stable or unstable.

ii) Use the modified parameter vales a=23/28, b=42, c=8, f=10. Determine $\displaystyle \lim_{t\to\infty}p(t) $ for all initial values $\displaystyle p_{0} \geq 0 $

I have worked out the steady state solution to the differential equation, by setting it equal to zero

$\displaystyle -40p^{3} + 168p^{2} + 126p-324 = 0 $

on matlab I get

$\displaystyle p = \frac{6}{5} , \frac{-3}{2} , \frac{9}{2} $

I am however stuck on the second part of this question, dont know how to go about it.?

Any help appreciated.

Thank you.