  Toric differential inclusions play a pivotal role in providing a rigorous
interpretation of the connection between weak reversibility and the persistence
of mass-action systems and polynomial dynamical systems. We introduce the
notion of quasi-toric differential inclusions, which are strongly related to
toric differential inclusions, but have a much simpler geometric structure. We
show that every toric differential inclusion can be embedded into a quasi-toric
differential inclusion and that every quasi-toric differential inclusion can be
embedded into a toric differential inclusion. In particular, this implies that
weakly reversible dynamical systems can be embedded into quasi-toric
differential inclusions.

Dynamical Systems