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A one-pool model with Ca2+-activated inositol-trisphosphate-concentration degradation is considered.For complex bursting Ca2+ oscillation,point-cycle bursting of subHopf-subHopf type is found to be in the intermediate state from quasi-periodic bursting to Point-point bursting of subHopf-subHopf type.The fast-slow burster analysis is used to study the transition mechanisms among simple periodic oscillation,quasi-periodic bursting,point-point and point-cycle burstings.The dynamics analysis of different oscillations provides better insight into the generation and transition mechanisms of complex intra- and inter-cellular Ca2+signalling.