Surface Response Modeling of the Variations between Percentage Death and Prevalences for TB/HIV Co-Infection Rate

In this work, the co-infection of HIV and TB, and the subsequent number of deaths caused by this is introduced and modelled. Literature on this has also been extolled and properly reviewed from the internet. The almost impossibility of obtaining this sort of materials for this work for many countries limits the work to one country (South Africa): Materials for the validation of the work were obtained from the internet only for South Africa (WHO, 2007). Surface plotting was made with the model by varying the interactions between percentage number of deaths, percentage HIV prevalence, percentage TB notification and time duration. It was revealed that in a country such as South Africa, as HIV and TB diseases propagate in the patients there are serious interactions between percentage HIV prevalence and percentage TB notification (fig. 1), percentage HIV prevalence and time duration (fig. 2), and percentage TB notification and time duration (fig. 3) as the death toll caused by the two diseases increase. The relationship between the movements of the 3 parameters (i.e. percentage number of deaths, percentage HIV prevalence and percentage TB notification) is clearly seen in another kind of 3D plot of figure 4. This work will help the HIV-AIDS workers and those studying the mechanisms of co-infection of HIV and TB in their researches around the world.