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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, Page 402-425
DOI: 10.9734/BJMCS/2014/4681
Published: 7 November 2013

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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.


Keywords:
  • Differential equations
  • exposed and infected
  • simulation
  • transmission dynamics
  • tuberculosis.
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How to Cite

Dontwi, I. K., Obeng-Denteh, W., Andam, E. A., & Obiri-Apraku, L. (2013). A Mathematical Model to Predict the Prevalence and Transmission Dynamics of Tuberculosis in Amansie West District, Ghana. Journal of Advances in Mathematics and Computer Science, 4(3), 402-425. https://doi.org/10.9734/BJMCS/2014/4681
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