This paper presents a systematic mapping study on the model-driven engineering of safety and security concerns in systems. Integrated modeling and development of both safety and security concerns is an emerging field of research. Our mapping study provides an overview of the current state-of-the-art in this field. Through a rigorous and systematic process, this study carefully selected 95 publications out of 17,927 relevant papers published between 1992 and 2018. This paper then proposes and answers several relevant research questions about frequently used methods, development stages where these concerns are typically investigated in, or application domains. Additionally, we identify the community's preference for publication venues and trends.