  A conservative Feller evolution on continuous bounded functions is
constructed from a weakly continuous, time-inhomogeneous transition function
describing a pure jump process on a locally compact Polish space. The
transition function is assumed to satisfy a Foster-Lyapunov type condition. The
results are applied to interacting particle systems in continuum, in particular
to general birth-and-death processes (including jumps). Particular examples
such as the BDLP and Dieckmann-Law model are considered in the end.
