A Mathematical Model to Predict the Prevalence and Transmission Dynamics of Tuberculosis in Amansie West District, Ghana
I. K. Dontwi, W. Obeng-Denteh, E. A. Andam, L. Obiri-Apraku
Journal of Advances in Mathematics and Computer Science · pp. 402–425 · Published 7 Nov 2013
10.9734/BJMCS/2014/4681Abstract
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.
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