Mathematical Modelling on Transmission Dynamics of Measles

Abstract

In this work, deterministic model has been used to construct a
 transmission dynamics of measles using five compartmental models
 namely; MSEIR. The Disease Free Equilibrium (DFE) point effective
 reproduction number and the basic reproduction number for the model
 were obtained. The simulations of the ordinary differential equation
(ODEs) and the reproduction number were established. Simulations of
different variables of the model have been performed. The sensitivity
analysis of different embedded parameters revealed that the proportion of
the immunized population exceeded the herd immunity level of measles.
Therefore, the disease cannot persist in the population.