Sensitivity Analysis of a Mathematical Model for the Transmission of Measles with Passive Immunity

A deterministic compartmental model for measles transmission incorporating a passively immune class is developed and analyzed. The model is formulated as a system of ordinary differential equations capturing the dynamics of passive immunity, susceptibility, exposure, infection, and recovery. Analytical and numerical sensitivity analyses of the basic reproduction number(R₀), are performed to identify epidemiological parameters that most strongly influence disease transmission. The results show that the effective contact rate and vaccination coverage are the most influential parameters, underscoring the importance of sustained immunization and reduced contact during outbreaks. The study provides quantitative insights relevant for measles control and public health planning.