UTA Department of Mathematics

Applied Mathematics Seminar

Date/Time/Room: Thursday (2/22/2007) at 2:30pm in 321 Pickard Hall

Speaker: Dr. J.M. Tchuenche, Assistant Professor
Department of Mathematics, University of Dar es Salaam, Tanzania

" Modelling effects of educational campaigns on HIV/AIDS transmission dynamics* "

Abstract: HIV/AIDS model for sexual transmission with explicit incubation period is proposed as a system of discrete time delay differential equations. The threshold and equilibrium for the model are determined and stabilities are examined. We use the model to study the effects of public health educational campaigns on the spread of HIV/AIDS as a single-strategy approach in HIV prevention. The education-induced basic reproductive number ( R_E) for the model is compared with the basic reproductive number (R_0) for the HIV/AIDS in the absence of any intervention to assess the possible community benefits of educational campaigns. We conclude from the study that in settings where public health educational campaigns of HIV/AIDS are effective and with reasonable average numbers of HIV-infected partners, public health educational campaigns can slow down the epidemic and are more effective when given to both sexually immature (pre-and early adolescence) and sexually mature individuals (adults) concurrently.

* In collaboration with Drs. Z. Mukandavire and W. Garira, Department of Applied Mathematics, National University of Science and Technology, P. O. Box Ac 939, Ascot, Bulawayo, Zimbabwe