Analyze the stability of equilibrium point $\bar{x}=0$ of the system: (Does it have more than one equilibrium point?)
$\left\{ \begin{array}{lcc} \dot{x_1}=x_1(a-bx_2) \\ \\ \dot{x_2}=x_2(-c+dx_1) \end{array} \right.$
I tried this by using Bendixson criteria or a Liaponouv's function but I don't know how to approach this. Thanks for your help!