Modeling the effects of nutrition on hiv/aids dynamics and people living with hiv/aids
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Date
2013
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
University of Dar es Salaam
Abstract
In this research we formulate a basic mathematical HIV/AIDS model which we extend
to incorporate nutrition as a control strategy. In the extended model, six classes of different populations were considered to assess the potential impact of nutrition on the transmission dynamics of HIV and the progression of HIV infections to AIDS symptoms. Qualitative results indicate that the disease free equilibrium is locally asymptotically stable whenever the effective reproduction number is less than unit and the endemic equilibrium is locally asymptotically stable when the effective reproduction number is greater than unit. Furthermore, when the effective reproduction number is equal to unit, forward bifurcation occurs. Numerical results indicate that the HIV epidemic can be reduced when nutrition is implemented. This result is shown by comparing the basic reproduction number, (R0) and effective reproduction number, (Re). Also, nutrition helps HIV infectives to progress slowly to AIDS symptoms becausetheir bodies develop strong immunity.
Description
Available in print form, East Africana Collection, Dr. Wilbert Chagula Library, Class mark (THS EAF RA784.H37)
Keywords
Nutrition, Aids (Disease), Mathematical model
Citation
Hassan, A (2014) Modeling the effects of nutrition on hiv/aids dynamics and people living with hiv/aids.Master dissertation, University of Dar es Salaam, Dar es Salaam.