Modelling the Impact of Stages of HIV Progression on Estimates


HIV/AIDS is a public health problem especially in sub-Saharan Africa where majority of infections and deaths occur. Despite the large number of studies and efforts made in covering the data gap using mathematical models, little is known on how model estimates are confounded by the transmission variabilities that exist in stages of HIV progression. This work investigates the impact of including stages of HIV transmission in HIV/AIDS models. A deterministic HIV/AIDS model is developed and extended to include stages of HIV progression of infected individuals. Theoretical investigation of the models and numerical analyses indicate that the two models produce different estimates, with the model without stages producing lower estimates than the staged model. These results call for a careful consideration in evaluating the efficiency of HIV/AIDS models that are used to estimate and project the burden of HIV/AIDS disease.

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Lutambi, A. (2015) Modelling the Impact of Stages of HIV Progression on Estimates. Advances in Infectious Diseases, 5, 101-113. doi: 10.4236/aid.2015.53012.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] UNAID (2013) Global Report: UNAIDS Report on Global AIDS Epidemic 2013.
[2] Quinn, T., Wawer, M., Sewankambo, N., Serwadda, D., Mangen, L.C.F., Meehan, M., Lutalo, T. and Gray, R. (2000) Viral Load and Heterosexual Transmission of Human Immunodeficiency Virus Type 1. The New England Journal of Medicine, 342, 921-929.
[3] Wawer, M., Gray, R., Sewankambo, N., Serwadda, D., Li, X., Laeyendecker, O., Kiwanuka, N., Kigozi, G., Kiddugavu, M., Lutalo, T., Nalugoda, F., Mangen, F., Meehan, M. and Quinn, T. (2005) Rates of HIV-1 Transmission per Coital Act, by Stage of HIV-1 Infection, in Rakai, Uganda. Journal of Infectious Disease, 191, 1391-1393.
[4] Rapatski, B., Suppe, F. and Yorke, J. (2005) HIV Epidemics Driven by Late Disease Stage Transmission. Journal of Acquired Immune Deficiency Syndromes, 38, 241-253.
[5] Perelson, A. and Nelson, P. (1999) Mathematical Analysis of HIV-1 Dynamics in Vivo. Society for Industrial and Applied Mathematics, 41, 3-44.
[6] Witten, G. and Perelson, A. (2004) Modelling the Cellular-Level Interaction between the Immune System and HIV. South African Journal of Science, 100, 447-451.
[7] Hyman, J., Li, J. and Stanley, A. (1994) Threshold Conditions for the Spread of HIV Infection in Age-Structured Populations of Homosexual Men. Theoretical Biology, 166, 9-31.
[8] Lin, X., Hethcote, H. and Van Den Driessche, P. (1993) An Epidemiological Model for HIV/AIDS with Proportional Recruitment. Mathematical Biosciences, 118, 181-195.
[9] McCluskey, C. (2003) A Model of HIV/AIDS with Staged Progression and Amelioration. Mathematical Biosciences, 181, 1-16.
[10] Guo, H. and Li, M.Y. (2011) Global Dynamics of a Staged-Progression Model for HIV/AIDS with Amelioration. Nonlinear Analysis: Real World Applications, 12, 2529-2540.
[11] Van den Driessche, P. and Watmough, J. (2002) Reproduction Numbers and Sub-Threshold Endemic Equilibria for Compartmental Models of Disease Transmission. Mathematical Biosciences, 180, 29-48.

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