Stability Analysis of Tuberculosis Model
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of Mathematical Sciences
Abstract
In this paper, we study MSEIR and MSIR Tuberculosis models. Existence, uniqueness and stability of the problem are proved using the concept of Bellman and Cooke's theorem. The equilibrium solutions with stability results are analyzed. The dynamics of the compartments were described by a system of ordinary differential equations and all the equations were solved and analyzed using the stability concepts. It was found out that the disease free equilibrium states for each model are stable when the number of recovery individual is greater than the death rate.
Description
Keywords
Bacillus Calmette-Guerin, Exposed TB infection, Active TB infection, Disease free equilibrium state, Endemic equilibrium state, Stability analysis and immunity.
Citation
2. Kazeem, A. K., Ibrahim, M. O., Dotia, A. K. and Ahmed, B. M. (2015): Stability Analysis of Tuberculosis Model, Journal of Mathematical Science, 3, 717 – 730. Published by National Mathematical Centre, Abuja, Nigeria.