TITLE:
Mathematical Modelling and Analysis of Measles Control Using Vaccination
AUTHORS:
Musah Konlan, Rauf Ibrahim Mohamed Gunu, Abdul-Karim Iddrisu
KEYWORDS:
Measles, Vaccination Campaign, Reproductive Number with/without Vaccination, Local and Global Stability, Sensitivity Analysis
JOURNAL NAME:
Open Access Library Journal,
Vol.13 No.3,
March
23,
2026
ABSTRACT: In this paper, the analysis of a mathematical model for the control of measles using vaccination is presented. The disease reproductive number (
R
0
) is computed and used to derive an expression of a reduction factor in the disease spread resulting from the implementation of immunization program in the community. The Routh-Hurwitz stability conditions are adopted to analyze the model equilibria in terms of their local stability. Lyapunov function candidates are used to determine the global stability status of both the measles-free and measles-persistent equilibrium states. Elasticity index of each parameter embedded into
R
0
is computed to help ascertain the significance of the model parameter contribution to measles epidemics in the society. Furthermore, population simulations are performed to demonstrate how changes in some parameter values influence the dynamical evolution of our model population sub-classes.