  Inspired by Anderson et al. [J. R. Soc. Interface, 2014] we study the
long-term behavior of discrete chemical reaction networks (CRNs). In
particular, using techniques from both Petri net theory and CRN theory, we
provide a powerful sufficient condition for a structurally-bounded CRN to have
the property that none of the non-terminal reactions can fire for all its
recurrent configurations. We compare this result and its proof with a related
result of Anderson et al. and show its consequences for the case of CRNs with
deficiency one.
