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We propose a dynamic rate allocation scheme based on power-rate-distortion (PRD) optimization model among multiple video sources over ad hoc networks. This work is an extension of the PRD model for single source video streaming. With a total rate constraint and different power consumption constraints for each node, our optimization algorithm minimizes the average video distortion for all sources. The optimization is performed at the receiver of the video streams. Experimental results for a video surveillance scenario demonstrate that the proposed scheme outperforms a simple fixed-QP scheme. The proposed scheme promotes the average PSNR by 0.32-0.45 dB without shortening the system lifetime, or prolongs system lifetime by more than 20% without cutting down the overall PSNR.