We can test the Dead Zone block with the Colink model shown in the below figure The Sine block is configured to a frequency of 1rad/sec and an amplitude of 1. The Dead Zone block Lower is set to -0.5 and Upper is set to 0.5. Set solver type to Fixed-Step, discrete (no continuous states), and let End time be 1.
Figure 1 colink model
Figure 2 A result from scope