This paper presents an approximated, but accurate and fast to compute, mathematical framework for evaluating the capture probability and the number of sustainable communications in a mobile wireless network where spatial reuse enables the coexistence of multiple traffic flows. The proposed study focuses on a particular multi-packet approach, known as multi-packet communication, in which different communicating pairs are simultaneously active. Within this context, the statistics of the received power, of the interference power, and of the signal-to-interference ratio are derived accounting for the antenna system and the network topology in the presence of Nakagami fading. The theoretical results, which are validated by independent Monte Carlo simulations, are used to discuss the impact of mobility on the result of each transmission attempt. The purpose of the developed theory is to provide an alternative analysis, including the spatial domain, for modeling the capture probability and the number of concurrent peer-to-peer communications that can be sustained in a mobile ad-hoc network.
