Modeling HIV/AIDS and Tuberculosis Coinfection
- 564 Downloads
An HIV/AIDS and TB coinfection model which considers antiretroviral therapy for the AIDS cases and treatment of all forms of TB, i.e., latent and active forms of TB, is presented. We begin by presenting an HIV/AIDS-TB coinfection model and analyze the TB and HIV/AIDS submodels separately without any intervention strategy. The TB-only model is shown to exhibit backward bifurcation when its corresponding reproduction number is less than unity. On the other hand, the HIV/AIDS-only model has a globally asymptotically stable disease-free equilibrium when its corresponding reproduction number is less than unity. We proceed to analyze the full HIV-TB coinfection model and extend the model to incorporate antiretroviral therapy for the AIDS cases and treatment of active and latent forms of TB. The thresholds and equilibria quantities for the models are determined and stabilities analyzed. From the study we conclude that treatment of AIDS cases results in a significant reductions of numbers of individuals progressing to active TB. Further, treatment of latent and active forms of TB results in delayed onset of the AIDS stage of HIV infection.
KeywordsThreshold quantity Stability Treatment Antiretroviral therapy Coinfection
Unable to display preview. Download preview PDF.
- Davies, P.D.O., 1999. Multi-drug resistant tuberculosis. Priory Lodge Education Ltd. Google Scholar
- De Cork, K.M., Chaisson, R.E., 1999. Will DOTS do it? A reappraisal of tuberculosis control in countries with high rates of HIV infection. Int. J. Tuberc. Lung Dis. 3, 457–465. Google Scholar
- Getz, W.M., Lloyd-Smith, J.O., Cross, P.C., Bar-David, S., Johnson, P.L., Porco, T.C., Sanchez, M.S., 2005. Modeling the Invasion and Spread of Contagious Diseases in Heterogeneous Populations. DIMACS Series in Discrete Mathematics and Computer Science. American Mathematical Society, Providence. Google Scholar
- Nowak, M.A., Sigmund, K., 2002. Super- and co-infection: the two extremes. In: Adaptive Dynamics of Infectious Diseases: in Pursuit of Virulence Management. Cambridge University Press, Cambridge. Google Scholar
- Styblo, K., 1991. Epidemiology of Tuberculosis: Selected Papers, Royal Netherlands Tuberculosis Association, The Hague. Google Scholar
- Van den Driesche, P., Watmough, J., 2005. Reproduction numbers and sub-threshold endemic equilibria for the compartmental models of disease transmission. Math. Biosci. 180, 29–48. Google Scholar
- World Health Organisation, 1999. Preventive therapy against tuberculosis in people living with HIV. Wkly. Epidemiol. Rec. 74, 385–398. Google Scholar