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http://repository.futminna.edu.ng:8080/jspui/handle/123456789/11555| Title: | Stability Analysis of a Deterministic Compartmental Model of Tuberculosis with Effect of HIV/AIDS on the Progression from Latent Class to Infectious Class. |
| Authors: | Enagi, Abdullah Idris Bawa, Musa Sani, Abdullah Muhammad Badegi, Yahya Aliyu |
| Keywords: | Equilibrium States Stability HIV/AIDS Latent TB treatment |
| Issue Date: | 2017 |
| Publisher: | International Journal of Mathematics and Computer Science |
| Citation: | A. I. Enagi, M. Bawa, A. M. Sani and Y. A. Badegi. (2017). Stability Analysis of a Deterministic Compartmental Model of Tuberculosis with Effect of HIV/AIDS on the Progression from Latent Class to Infectious Class |
| Series/Report no.: | 12(2 );85–95 |
| Abstract: | In 2015, there were an estimated 10.4 million new (incident) Tu- berculosis cases worldwide, of which 5.9 million (56%) were among men, 3.5 million (34%) among women and 1.0 million (10%) among children. People living with HIV accounted for 1.2 million (11%) of all new TB cases. Six countries accounted for 60% of the new cases: India, Indonesia, China, Nigeria, Pakistan and South Africa [3]. In this study we present a deterministic compartmental mathematical model for the dynamics of tuberculosis and incorporate parameters for slow and fast progression from latently infected tuberculosis to in- fectious tuberculosis using a modified SIS model to show the effect of HIV/AIDS on the spread of Tuberculosis. The disease free and endemic equilibrium states were established. The disease free equi- librium state was analyzed for stability using a modified version of Bellman and Cooke theorem [1]. |
| URI: | http://repository.futminna.edu.ng:8080/jspui/handle/123456789/11555 |
| ISSN: | 1814-0432 |
| Appears in Collections: | Mathematics |
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