How would I go about finding the steady states
I know I need to set $\frac{dx}{dt}=0$ but then I'm struggling with the next step.
2026-03-25 03:02:11.1774407731
Finding the steady states of a quadratic ODE
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Let $$ \beta+x\alpha(1-\frac{x}{\kappa})-x(\mu+\nu+\delta) =0$$ and then $$ \alpha x^2+\kappa(-\alpha+\mu+\nu+\delta)x-\beta\kappa=0.$$ You can use quadratic formula to the equilibrium points.