A stochastic structural dynamics framework for analyzing systemic strain in the Nigerian health sector through Monte Carlo simulation

An analysis of the Nigerian health sector using the theory of structural dynamics is presented in this study. A second-order stochastic differential equation model was formulated to simulate systemic strain while accounting for time-varying epidemiological loads, internal damping and material stiffness. To capture real-world randomness and system volatility, a Monte Carlo simulation process was deployed to execute 2,000 realizations, and a correlation-based sensitivity analysis was adopted to rank the model parameters. Theoretical analysis of the model reveals that the Nigerian health sector is currently under-damped, exhibiting sustained oscillatory behaviour after each epidemic shock. Results from the sensitivity analysis identify the baseline budget and outbreak load as the primary drivers, together accounting for 60.3% of the sum of absolute correlations. The analysis presented in this study identifies migration of health specialists as a critical factor influencing systemic damping, while infrastructural and equipment maintenance gaps compromise the structural stiffness required to resist external forcing. Using existing Nigerian data, the model system was restructured via an intervention scenario that considers strategic infrastructure revitalization and workforce stabilization, a 95.3% reduction in average final strain was achieved, with retention improving from 85 to 92.2%. Although the system still experiences temporary threshold crossings during extreme outbreak peaks, the intervention substantially reduces the severity of overloads and narrows the strain distribution. This study concludes that the gradual systemic failure in the Nigerian health sector is a function of structural mechanics rather than epidemiological inevitability. To prevent the Nigerian health sector from being overwhelmed during peak loads, the study recommends a stabilization framework that prioritizes the restoration of structural stiffness through health infrastructure upgrades and retention of health specialists.