— In this work we develop Markovian models to study the dynamics of elastic calls in a cell served by HSDPA and WiMAX systems. We first present analytical models for interference and throughputs in WiMAX and HSDPA. We then consider two different strategies of Joint Radio Resource Management (JRRM) with or without inter-system vertical handovers and show how to calculate the steady-state probabilities and the performance measures (blocking probabilities, mean sojourn times, loads). Our numerical results compare the different JRRM strategies and point out the advantages and drawbacks of each of them. We find out that, although JRRM with vertical handover achieves the best performance, the throughput maximising strategy without inter-system handovers has an acceptable performance and may be adopted in the first cooperative networks until constructors’ handover solutions become more mature.