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Drone base stations (DBSs) can potentially provision low-cost and flexible networking with high mobility while in-band full-duplex (IBFD) can conceivably improve spectrum efficiency. Therefore, it is logical to employ DBSs with IBFD in a cellular network to improve the network throughput. We decompose this problem into the DBS placement problem and the joint bandwidth and power allocation problem, and propose two heuristic algorithms to solve the whole problem. Simulation results have demonstrated that the total throughput of the dynamic DBS placement algorithm achieves up to 45% improvement as compared with that of the strategy without DBSs.