Please use this identifier to cite or link to this item:
http://repository.futminna.edu.ng:8080/jspui/handle/123456789/1703| Title: | A Mathematical Analysis of HIV/TB Co-Infection Model |
| Authors: | Bolarin, Gbolahan Omatola, I.U |
| Keywords: | BioMathematics |
| Issue Date: | 2016 |
| Publisher: | Journal of Applied Mathematics |
| Citation: | Bolarin, G. and Omatola I.U. (2016), A Mathematical Analysis of HIV/TB Co-Infection Model. Applied Mathematics, 2016 6(4), pp. 65-72. DOI: 10.5923/j.am.20160604.01 |
| Abstract: | In this work we developed and analyzed a mathematical model of HIV/TB co infection. The model is a first order Ordinary Differential Equations, in which the human population is divided into six mutually- exclusive compartments namely; TB- Susceptible individuals (S), TB-Infected individuals (I), TB-Recovered individuals (R), HIV-Infected individuals (P1), Co- Infected individuals (P2) and individuals with AIDS (A). The equilibrium states were obtained and their stabilities were analyzed by using Bellman and Cooke’s theorem. The result shows that the endemic equilibrium state is stable and the disease free equilibrium state will be stable if ()()TTcNadβμμΛ<++. |
| URI: | http://repository.futminna.edu.ng:8080/jspui/handle/123456789/1703 |
| ISSN: | 2163-1425 |
| Appears in Collections: | Mathematics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 10.5923.j.am.20160604.01.pdf | DOI: 10.5923/j.am.20160604.01 | 367.76 kB | Adobe PDF | View/Open |
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