Peer-to-peer (P2P) energy trading system has the potential to play a transformational role in addressing electricity availability in rural areas and sub-Saharan Africa. P2P is a market-driven energy coordination system that enables communities with/without grid access to generate, trade, and manage electricity locally. Despite P2P enabling prosumers (consumers with the capacity to generate energy) to sell their surplus energy to peers in rural areas, there are still challenges that impede its implementation. Some of the identified impediments include Technical (Cybersecurity and Data Privacy, Communication and Interoperability, System Stability and Control, and Data Management and Analytics). This article presents a mathematical model that enhances understanding of the technical issues relating to cybersecurity of P2P-based energy trading systems (P2P-ETSs). This research further established the importance of addressing one of the technical constraints, cybersecurity and data privacy, for efficient mapping of bids to allocations and payments in energy trading. A correct understanding of the mathematical formulations of constraints will enhance the advancement this energy solution with an interest in availability, affordability, and the protection of participants’ privacy in a P2P-ETS against adversaries.