Mathematical Model for Measles Transmission Control Through ageStructured Vaccination

An Analytical Approach

Abstract

This research presents a mathematical model designed to control measles transmission through age-structured vaccination. Vaccination is pivotal in controlling this contagious disease, and the model investigates various aspects such as existence and uniqueness, minimal recurrence rate, stability analysis of local and global equilibria, and sensitivity analysis. The disease threshold being a determining factor for the persistence of measles as or it dies out with time Utilizing a numerical simulation approach of homotopy perturbation method for numerical analysis, the model assesses the impact of vaccination on the spread of measles whose graphs depict on each sub-population. Results indicate that vaccination emerges as a potent and efficient control policy, effectively flattening the disease curve and it recommended to policymakers and health practitioners that strict adherence to the use of vaccination to curb the rapid spread of this deadly disease transmission.