A four-variable reduced model is developed from an empirical rate law model for the oscillatory iodate-sulfate-ferrocyanide reaction. The dynamical behavior of the reduced model is compared to that of the original 10-variable model and to the behavior found in experimental studies. The four-variable model is further reduced to a minimal two-variable model which retains most of the dynamical features of the original system. The transitions from oscillatory to steady-state behavior are examined in both reduced models, revealing an apparent infinite period bifurcation and a canard associated with a supercritical Hopf bifurcation