Deterministic modelling of tuberculosis and Hiv/aids

Abstract

The human immunodeficiency virus (HIV) pandemic presents ~ massive challenge to the control of recurrent diseases like tuberculosis (TB) at all levels. Tuberculosis is also one of the most common causes of morbidity and one of the leading causes of mortality in people living with HIV/AIDS (PLWHA). In this study, we have developed a mathematical model that captures the role played by HIV/AIDS in accelerating the infection and hence spread of Tuberculosis. We looked at TB progression among people with HIV and those without. The model is formulated for TBIHlV negative individuals as well as for TBIHlV positive people. The model was developed using the first order partial differential Mackendrick- Yon Foster equation. Further, we reviewed different epidemiological techniques to estimate parameters in the model. These parameters were estimated through extraction of relevant information from data available in the literature. Finally, we were able to present computed numerical solutions of the model using MATLAB.