7. Consider the one prey and two predator system
\frac{dx_1}{dt} = x_1(b_1 - \alpha x_2 - \epsilon y)
\frac{dx_2}{dt} = x_2(b_2 - \beta x_1 - x_2 - \mu y)
\frac{dy}{dt} = y(-b_3 + \delta x_1 + \delta \mu x_2)
where $x_1$, $x_2$ and $y$ are density of the populations at any instant $t$ and $b_1$, $\alpha$, $\epsilon$, $b_2$, $\beta$, $\mu$, $b_3$, $d$ are positive
constants. Find the positive equilibrium points and discuss nature of these equilibrium points.
