  A lattice model for active matter is studied numerically, showing that it
displays wettings transitions between three distinctive phases when in contact
with an impenetrable wall. The particles in the model move persistently,
tumbling with a small rate $\alpha$, and interact via exclusion volume only.
When increasing the tumbling rates $\alpha$, the system transits from total
wetting to partial wetting and unwetting phases. In the first phase, a wetting
film covers the wall, with increasing heights when $\alpha$ is reduced. The
second phase is characterized by wetting droplets on the wall with a periodic
spacing between them. Finally, the wall dries with few particles in contact
with it. These phases present nonequilibrium transitions. The first transition,
from partial to total wetting, is continuous and the fraction of dry sites
vanishes continuously when decreasing the tumbling rate $\alpha$. For the
second transition, from partial wetting to dry, the mean droplet distance
diverges logarithmically when approaching the critical tumbling rate, with
saturation due to finite-size effects.
