Disasters cause wide-spread damages of lives and properties as well as affect economic stability, raising the importance of efficient disaster management. Among the multiple research directions in disaster management system, significance of communication technologies has recently gained much attention in post-disaster recovery phase. Different solutions for disaster management have been proposed using available technologies in absence of communication infrastructures. However, lack of proper research direction in inexpensive, fast and easily deployable communication infrastructure for efficient disaster management system has motivated this paper. The contributions in this paper is three-fold - (1) a new taxonomy about dynamics in deployed communication network infrastructures for disaster management system in post-disaster scenarios is proposed, which paves the road for future research in this direction; (2) a comprehensive review of the recent proposals on such dynamic infrastructure for disaster management system is reported, which provides state-of-the-art in this direction; and (3) a set of open challenges for future research in dynamic infrastructures for disaster management system is also presented.