  We consider a one-dimensional nearest-neighbor interacting particle system,
which is a mixture of the simple exclusion process and the voter model. The
state space is taken to be the countable set of the configurations that have a
finite number of particles to the right of the origin and a finite number of
empty sites to the left of it. We obtain criteria for the ergodicity and some
other properties of this system using the method of Lyapunov functions.
