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#### dwsmith

##### Well-known member
Steady states for a system of nondimensionalized DEs

$$\begin{array}{lcl} \frac{du_1}{d\tau} & = & u_1(1 - u_1 - a_{12}u_2)\\ \frac{du_2}{d\tau} & = & \rho u_2(a - a_{21}u_1) \end{array}$$

So $(0,0)$ and $(1,0)$. Are there any more? If so, how did you find them?

#### Jester

##### Well-known member
MHB Math Helper
What if

$1−u_1 −a_{12} u_2 = 0$ and $a−a_{21} u_1 = 0$?

#### dwsmith

##### Well-known member
What if

$1−u_1 −a_{12} u_2 = 0$ and $a−a_{21} u_1 = 0$?
I figured it out awhile ago but thanks.