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We propose an analytical model for call-level transient performance analysis in cellular mobile networks with time-varying traffic patterns. We consider both static and adaptive bandwidth allocation. Based on the transient analysis, we develop a threshold-based adaptive call admission control scheme in which a threshold is used to control the admission of new calls and thereby achieve the desired call-level quality of service (QoS) in the network. Results from numerical examples based on the transient analysis are presented. These results are validated by simulation results.