Immunized population

Article history: Received 04 March 2019 Revised 10 March 2019 Accepted 20 March 2019 Available online 5 April 2019 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.

reproduction number and the basic reproduction number for the model Available online 5 April 2019 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.