  Under the assumption of mass-action kinetics, a dynamical system may be
induced by several different reaction networks and/or parameters. It is
therefore possible for a mass-action system to exhibit complex-balancing
dynamics without being weakly reversible or satisfying toric constraints on the
rate constants; such systems are called disguised toric dynamical systems. We
show that the parameters that give rise to such systems are preserved under
invertible affine transformations of the network. We also consider the dynamics
of arbitrary mass-action systems under affine transformations, and show that
there is a bijection between their sets of positive steady states, although
their qualitative dynamics can differ substantially.
