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In this paper, the application of non-orthogonal multiple access (NOMA) aided multiple unmanned aerial vehicles (UAVs) wireless networks is investigated in the downlink scenario. A new multiple UAVs framework, user-centric strategy for providing emergency services in the rural area, is proposed by utilizing a stochastic geometry model. In order to provide practical insights for the proposed NOMA assisted UAV framework, an imperfect successive interference cancelation (ipSIC) scenario is taken into account. For the user-centric strategy, we derive new exact expressions for the coverage probability. The derived analytical results explicitly indicate that the ipSIC coefficient is a dominant component in terms of coverage probability.