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With the advent of multiservice mobile wireless Internet systems, there is a recent interest in the design, modeling and analysis of architectures that can support differing types of network traffic. This article analyses the performance of a differentiated service model for IP based wireless networks. The model accounts for a wireless link's features, such as fading, which causes link drop outs as well as random and burst errors in a different form to fixed networks. Network traffic is classified into QoS classes and given differentiated services based on buffer sharing and buffer share proportional scheduling rates. The resulting queuing system is analyzed using matrix analytic methods. Numerical investigations show that the model can guarantee low loss and low queuing delays simultaneously to packets of a given traffic class. The analyzed traffic classes map one-to-one onto 3G (UMTS) QoS classes.