As part of a research and development program aimed at providing a decision support system for cyber risk management, we conducted an in-depth analysis of the research, innovation and collaboration environment for decision support technologies and mathematical decision support systems for cybersecurity. We analysed 5,841 documents from three different databases and derived 79 significant decision support systems. We conducted a bibliometric and semantic analysis of all documents to identify the dynamics of collaboration, research trends, and other structural elements, and we analysed these 79 models under 16 risk management evaluation criteria to assess their relevance. This work now allows for a better understanding of the dynamics underlying cyber risk modelling research, an analysis of the models used by academic and private research, a classification of these models regarding these same evaluation criteria, and a taxonomy of decision support systems for cybersecurity.