Recent findings in the conversion behavior of diesel oxidation catalysts (DOCs) show a strong dependence between performance and oxidation state of the catalyst. Furthermore, a slow and reversible change of catalyst oxidation state has been observed under cyclic temperature changes with realistic exhaust gas conditions, which can result in a significant inverse hysteresis during light-off and subsequent light-out. In this contribution, an existing 1D global kinetic model for Pt-only DOCs is developed further, considering CO and hydrocarbon interaction. It is also applied to a Pd-only and PtPd-alloyed catalyst.