Check if this system has any attractor

Question

We have the following system: \begin{cases} h'=h(1-h-a_{12}p) & \\ p'=\rho p(1-p-a_{21}h) &, \rho>0, a_{12}>1, a_{21}\in (0,1).\\ \end{cases} We want to see if we have an attractor. So far I have managed to determine the stationary points: $(0,0), (1,0), (0,1), (h^*,p^*) $, where $h^*$ and $p^*$ are solutions of the system \begin{cases} 1-h-a_{12}p=0 & \\ 1-p-a_{21}h=0&, \rho>0, a_{12}>1, a_{21}\in (0,1).\\ \end{cases} I investigated the stability of the stationary points and found the following:$(0,0)$ is unstable, $(1,0)$ is stable ( asymptotically) and $(0,1)$ is stable( asymptotically).I can't figure out how to determine the stability of the fourth point $(h^*,p^*).$ Next I would like to see if we have attractors, for this I was thinking to determine the null-clines. Please give me a little help in determining these null-clines and and a hint about the attractor.