2
$\begingroup$

For the following two differential equations which model birth rate in relation to population density

  1. $\dfrac {dN}{dt} = bN^2 - aN$,

  2. $\dfrac {dN}{dt} = bN^2 \left(1 - \dfrac N K \right) - aN$

where $a$ and $b$ are positive constants

I need to locate the equilibria of $N$, determine stability, and sketch solution curves for "various starting values" $N_0$.

I have no idea how to go about this.

  • 0
    Hard to believe that the notions of *equilibrium* (point) and *stability* of a dynamical system were not defined in the course. For starters, what is the definition of an equilibrium point?2011-07-21

1 Answers 1