A Mathematical Model to Predict the Prevalence and Transmission Dynamics of Tuberculosis in Amansie West District, Ghana

In this paper, a Susceptible - Exposed - Infected - Recovered (SEIR) epidemiological model is formulated to determine the transmission of tuberculosis. The equilibrium points of the model are found and their stability is investigated. By analyzing the model, a threshold parameter R0 was found which is the basic reproductive number. It is noted that when R0 < 1 the disease will fail to spread and when R0 > 1 the disease will persist in the population and become endemic. The model has two non–negative equilibria namely the disease – free equilibrium and the endemic equilibrium. The graphical solutions of the differential equations were developed using Matlab as well as the computer simulations.