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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/11164

Title: A Mathematical Model to Predict the Prevalence and Transmission Dynamics of Tuberculosis in Amansie West District, Ghana
Authors: Dontwi, I. K.
Obeng-Denteh, William
Andam, E. A.
Obiri-Apraku, L.
Keywords: Differential equations
Exposed and infected
Transmission dynamics
Issue Date: 2014
Publisher: British Journal of Mathematics & Computer Science
Citation: British Journal of Mathematics & Computer Science, 4(3): 402-425, 2014
Abstract: 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.
Description: This is an article published by British Journal of Mathematics & Computer Science 4(3): 402-425, 2014
URI: http://hdl.handle.net/123456789/11164
Appears in Collections:College of Science

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