International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Open Access | Fully Refereed | Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | Nigeria | Volume 2 Issue 1, January 2013


The Stability Analysis of the Mathematical Model of Tuberculosis Transmission Dynamics

Godswill U. Achi, Okafor, J.U, Kenneth Chimereucheya


Abstract: In this paper, we present the stability analysis of the mathematical model of Tuberculosis transmission dynamics based on SEI model. The analysis is derived from the principles of compartmental modeling showing the rates at which susceptible S move to latent class E and to the infectious class I. We used assumption and schematic presentation to get a system of three non-linear ordinary equations that govern the transmission of the disease guided by the work in [3] The steady state solution was computed and the basic reproduction number R_0 was obtained as (2+ (1+P)) / (+) (+). A stability analysis was done and the disease free equilibrium is shown to be stable if (2+ (1+P)) / (+) (+) <1 and unstable if (2+ (1+P)) / (+) (+) >1.


Keywords: Latent infection, Stability Analysis, Disease free equilibrium, Reproduction number and non-linear ordinary equation


Edition: Volume 2 Issue 1, January 2013,


Pages: 643 - 647


How to Cite this Article?

Godswill U. Achi, Okafor, J.U, Kenneth Chimereucheya, "The Stability Analysis of the Mathematical Model of Tuberculosis Transmission Dynamics", International Journal of Science and Research (IJSR), https://www.ijsr.net/get_abstract.php?paper_id=IJSROFF130201020, Volume 2 Issue 1, January 2013, 643 - 647

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