a tristable parameter region as presented in Fig. \[fig:1k2\_1k4\]. Here a moderate value of $\alpha=2$ was selected. Lowering the noise intensity, three different regions are visible. First, for high noise $D > 0.5$ the monostable disordered solution exists which is apparent in all figures. Lowering the noise this state becomes bistable between the ordered homogeneous states where both populations are in state $0$ and an inhomogeneous network where the population that is smaller and stronger connected is with high probability in the ordered state $1$ but the larger less connected population is still disordered. This is another type of bistability, this time between an homogeneous ordered state and an inhomogeneous disordered state. Finally, by decreasing the noise intensity $D$ further, the third region is entered and the solutions become tristable between $(0,0)$, $(1,0)$ and $(1,1)$ in case of vanishing noise. Stability of the state $(1,0.5)$ as visible in the intermediate region of Fig. \[fig:1k2\_1k4\] is an interesting event, because it means that the population of the network with the higher degree is in an ordered state whereas the population with the lower degree is in a disordered state. Such partly ordered states have also been reported for the Ising model 