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The two-compartment model with current-feedback control is considered as a typical fast-slow dynamical system to study the combined influences of the reversal potential Vk of K+ and the feedback current I on the generation and transition of different bursting oscillations.Two-parameter bifurcation analysis of the fast subsystem is performed in the parameter (I,Vk)-plane at first.Then different types of bursting are presented with the variation of the Vk parameter,and fast-slow dynamics is used to analyze the types and generation mechanism of bursting oscillations.In addition,a compound bursting with period-adding sequence is found with proper parameters.The results are instructive for further understanding the dynamical behavior and mechanisms of complex firing activities and information processing in biological nervous systems.