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In this paper, a fluid-based analytical model for General Packet Radio Service (GPRS) traffic in uplink direction is presented. This model is a generalized form of the previous proposed fluid-based models for TCP/IP traffic. It is shown that the capacity of the uplink direction in GPRS is a time varying parameter which depends on some parameters such as channel model and mobile station (MS) speed. This capacity is formulated analytically and then calculated numerically by simulation.