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ISRN Applied Mathematics
Volume 2012 (2012), Article ID 864795, 25 pages
http://dx.doi.org/10.5402/2012/864795
Research Article

HIV/AIDS Dynamics with Three Control Strategies: The Role of Incidence Function

1Mathematics Department, University of Dar es Salaam, Dar es Salaam, Tanzania
2Department of Applied Mathematics, National University of Science and Technology, Bulawayo, Zimbabwe

Received 3 March 2012; Accepted 29 April 2012

Academic Editors: H. Akçay, C. Lu, and G. Psihoyios

Copyright © 2012 Emmanuelina L. Kateme 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.

Abstract

The type of incidence function used in epidemiological models is generally a matter of choice and convenience. Basic deterministic HIV/AIDS models with standard and saturated incidences are developed and extended to include three control measures, namely, public health educational campaigns, condom use, and treatment. The potential impact of these incidence functions on long-term projection of the disease dynamics is theoretically assessed, both qualitatively and quantitatively. Conditions for the stability of the model steady states are provided. The model with saturated incidence yields a higher number of secondary infections compared to the same outcome in the standard incidence formulation.