Mathematical Modeling as a Tool for Occupational Safety and Health in Ecuador: Barriers, Potential, and Proposals

Abstract

Mathematical modeling is a fundamental tool for optimizing occupational risk prevention; however, its application in Ecuador is still in its early stages. The objective of this study was to identify the academic barriers that limit the implementation of mathematical models in occupational safety and health management. A descriptive, cross-sectional methodology was employed, involving a comparative analysis of graduate programs in Ecuador, Spain, and the United States, evaluating admission profiles, curricula, and educational approaches. The results showed that, unlike the U.S. model—which prioritizes quantitative foundations and research-oriented tracks—programs in Ecuador are predominantly vocational in nature, with heterogeneous admission profiles and no training in advanced mathematics or predictive statistics. It is concluded that the lack of technical standardization and the absence of numerical skills in current graduate programs hinder the development of proactive prevention. As a solution, a new master’s program design is proposed, featuring differentiated tracks (vocational and research-oriented) and preparatory courses that enable the use of simulation and data analysis tools for decision-making.