A.A. Momoh, M.O. Ibrahim, I.J. Uwanta, S.B. Manga
Department of Mathematics
Modibbo Adama University of Technology
Yola, Adamawa State, NIGERIA
Department of Mathematics
University of Ilorin
Ilorin, Kwara State, NIGERIA
Department of Mathematics
Usmanu Danfodiyo University
Sokoto, Sokoto State, NIGERIA

Abstract. 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.

Received: June 25, 2013

AMS Subject Classification: 92D40, 92D25, 34D20

Key Words and Phrases: vaccination, endemic, equilibrium states, compartmental model, reproductive number

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