Question

Find all non-negative steady states (y*, z*) of the following system of differential equations: (see equations in the comments).

Answer 1

\[dy/dt=\alpha y(1-y-\gamma z)\]
\[dz/dt=\beta z(1-\mu y-z)\]

Answer 2

The steady states occur at the points \((y,z)\) that make \(\dfrac{dy}{dt}=\dfrac{dz}{dt}=0\). Are \(\alpha,\beta,\gamma,\mu\) constants?

Answer 3

I believe so

Answer 4

I don't know for sure though.