Differential Equations Model and Reliability Analysis of Work-Related Injury Insurance System of China

Work-related injury insurance system which consists of work-related injury prevention system, work-related injury compensation system, work-related injury rehabilitation system is a complex social and systematic project. Firstly, the paper analyses the relations among the three subsystems, then makes some basic hypotheses. Secondly, we set up differential equations model to quantitatively analyze the relations among the subsystems based on the hypotheses. Finally, we study the sensitivity and reliability of the model. This research is theoretical important for studying the sustainable development for work-related injury insurance system.