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Multi-hop communication is commonly observed in mobile ad-hoc wireless networks. It is known that the stability of multi-hop paths formed by mobile nodes is affected by node mobility degree and node density. However, a closed-form model of multi-hop path performance and an in-depth investigation is still missing. In this paper, we derive a analytical model of packet delivery ratio for multi-hop paths from the average packet delivery ratio of each individual link and the distribution of hop count of multi-hop path between an arbitrary source node and a destination node. The corresponding results demonstrate that the proposed approach can provide an efficient method of estimating and evaluating the performance of multi-hop paths in mobile ad-hoc wireless networks.