Finding the steady state and stability of this system:

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$$\frac {dy_1}{dt}=-ry_{1}\ln\left(\dfrac{y_1}{a+by_{2}}\right)$$

$$\frac{dy_2}{dt}=-ry_{2}\ln\left(\dfrac{y_2}{c+dy_{1}}\right)$$

I've been trying since forever. I see the trivial solution but how do I find my logarithmic zeroes and represent it in terms of (y1*,y2*)?