HIV/AIDS Dynamics with Three Control Strategies: The Role of Incidence Function. (13th August 2012)

• Record Type: Journal Article
• Authors: Kateme, Emmanuelina L.; Tchuenche, Jean M.; Hove-Musekwa, Senelani D.
• Other Names: Akçay H. Academic Editor.; Lu C. Academic Editor.; Psihoyios G. Academic Editor.
• Is Part Of: ISRN applied mathematics. Volume 2012(2012)
• Publication Date: 2012-08-13
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; Electronic journals; 510
• DOI: 10.5402/2012/864795
• Languages: English
• ISSNs: 2090-5564

Abstract

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.