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In this paper, we propose an entropy-based routing protocol using mobility (ERPM) in mobile ad-hoc wireless sensor networks (MAWSN). The main contribution of this paper is in showing and proposing how the routing routes are decided on route stability based on mobility of mobile nodes to increase the operational lifetime of routes as well as how the stability of routing routes can be measured quantitatively in mobile ad-hoc wireless sensor networks. We consider a realistic approach, in the points of view of the MAWSN, based on mobile sensor nodes as well as fixed sensor nodes in sensor fields while the conventional research for sensor networks focus on mainly fixed sensor nodes. The performance evaluation of the proposed ERPM is performed via simulation and analysis.