This systematic literature review synthesises and critically evaluates the burgeoning body of research at the intersection of computer science and peace and conflict studies, with a specific focus on South Sudan. It examines how computational methods—including data mining, natural language processing, network analysis, and machine learning—are being deployed to analyse conflict dynamics, model peace processes, and evaluate humanitarian interventions. The review identifies dominant methodological trends, key data sources, and significant gaps in the current literature. It argues that while computational tools offer powerful new avenues for evidence-based analysis, their application in the South Sudanese context is often hampered by data scarcity, methodological opacity, and a lack of interdisciplinary integration. The findings contribute to a more structured understanding of how technology can be leveraged to support conflict resolution and sustainable peace in one of the world's most protracted crises.