Mathematical analysis of a comprehensive HIV AIDS model: treatment versus vaccination

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Copyright c © 2013 M. O. Okongo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. A comprehensive deterministic HIV/AIDS transmission model in-corporating social behaviour, treatment, vaccination, stages of infection, age structures, discrete time delay and vertical transmission is presented and rigorously analyzed. Two age structures are considered with group one consisting of children aged (0- a) years and group two consisting of adults aged (a) years and above. In this study we investigate wether 2688 M. O. Okongo et al a trade-off exists between vaccination and treatment. Numerical sim-ulations shows that treatment that does not reduce infectiousness is worse than when the treatment is not applied at all, however when coupled with effective counseling, then it is very effective in combating the spread of the disease and finally eliminating it. A trade off seems to exists between vaccination and treatment and therefore careful consider-ations should be made when vaccination and treatment is to be applied together because a combination of the two could be counterproductive or helpful depending on how it is implemented..

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