A Mathematical Model for Measles incorporating Public enlightenment, Vaccination with Testing and Measles Therapy

A deterministic mathematical model of measles infection incorporating public enlightenment, vaccination of susceptible humans, with testing and measles therapy of exposed humans, with testing and measles therapy of exposed human is developed. The disease-free equilibrium (DFE) state of the model was determined and used to compute the basic reproduction numberR0, as a threshold for effective disease manage ment. The result from stability analysis for the disease-free equilibrium state (DFEs) shows that it is locally as well as globally asymptotically stable whenever the basic reproduction number R0, is less than unity (R0 < 1). Further, the effect of the model parameters on the dynamics of the disease is analyzed using the normalized forward sensitivity in dices. Numerical simulations show that, expanded and improved testing and measles therapy is crucial in decreasing measles burden. Further more, from the numerical simulations and results it is recommended that a combination of public enlightenment campaigns, vaccination with testing and measles therapy are vital to public health strategies in eradicating measles infection and deaths in the shortest possible time.