The Comparator models an ideal comparator with hysteresis. The input impedance is infinite.

The output goes high when $\frac{V_{\mathrm{hys}}}{2}<v_p-v_n$. It goes low when $v_p-v_n<-\frac{V_{\mathrm{hys}}}{2}$.

When the output is high, the output pin is connected to the high supply pin, $\mathrm{hi}$, through a resistance $R_{\mathrm{on}}$, and is connected to the low supply pin, $\mathrm{lo}$, through a conductance $G_{\mathrm{off}}$.

When the output is low, the output pin is connected to the high supply pin, $\mathrm{hi}$, through a conductance $G_{\mathrm{off}}$, and is connected to the low supply pin, $\mathrm{lo}$, through a resistance $R_{\mathrm{on}}$.