An SEIR epidemic model is investigated to ascertain the impact of exposed individuals at latent period (individuals who are infected but not yet infectious) on the transmission dynamics of measles. Mathematical analysis is carried out that completely determine the dynamics of the model. The impact of exposed individuals at latent period are discussed through the stability analysis and numerical simulation.

Protecting children from vaccines-preventable diseases such as measles, is among primary goals of health administrators worldwide. Since vaccination turned out to be the most effective strategy against childhood disease, developing a framework that would predict an optimal vaccine coverage level needed to control the spread of these disease is crucial. In this paper, we used a compartmental mathematical model to study the transmission dynamics of measles. The effect of vaccination on transmission dynamics of measles were study. The stability of the disease-free equilibrium is established. Numerical simulations are carried out. We discussed in details the implications of our analytic and numerical solutions.