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GPRS data services are subject to severe performance degradation due to limited network resources. The technical approaches taken to alleviate the problem are not sufficient to encounter a complete range of incoming scenarios. In this paper, we define and study analytically a performance model for GPRS data services that takes into account prices that change dynamically, depending on the congestion in the system. The model is based on a Markov modulated Poisson process (MMPP), where the arrival rates are affected by a demand function. Performance metrics are also calculated. We believe that the proposed model captures the effect of dynamic pricing on the performance of GPRS data services in a realistic manner.