International Journal of Mathematics Trends and Technology
Volume 4 | Issue 9 | Year 2013 | Article Id. IJMTT-V4I9P2 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I9P2
The entire population is divided into five compartments viz. susceptible (S), exposed (E), infectious with pulmonary tuberculosis (I) and extra-pulmonary tuberculosis (X) and treated (T). Basic reproduction number R0 is defined and a relation is established for it. Steady state conditions are derived showing that when 0 R 1there is a disease free equilibrium which is locally asymptotically stable whereas for 0 R 1there exists an endemic equilibrium. Sensitivity of R0 to each parameter is analysed.
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Nita H. Shah, Jyoti Gupta, "Mathematical Modelling of Pulmonary and Extra-pulmonary Tuberculosis," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 9, pp. 158-162, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I9P2
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