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The hysteresis description advanced by Harrison is static in nature. On the other hand, it seems crucial for some applications to consider how the dynamic effects due e.g. to eddy currents in conductive materials affect the shapes of modeled hysteresis loops. In the paper two possible model extensions are proposed. The approach based on the introduction of an additional term in the so-called effective field yields a better accuracy in comparison to the extension using a term related to relaxation time. • The quasi-static hysteresis description based on positive feedback mechanism is extended to the dynamical case. • Two possible model extensions are compared. • The approach based on the introduction of a damping term into the so-called effective field yields a better accuracy. [ABSTRACT FROM AUTHOR]