Mathematical Modelling of a Staged Progression HIV/AIDS Model with Control Measures
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Date
2015-03
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of Nigerian Association of Mathematical Physics. Published by National Association of Mathematical Physics
Abstract
A staged-progression model for HIV/AIDS transmission dynamics is formulated and analyzed to study the impact of condom usage, HIV-reated public health program and treatment. The local and global stability for the disease free equilibrium(DFE) was proved for Re <1 and Kransnoselki sublinearity trick was used to show that the endemic equlilibrium (EE) is locally asymptotically stable for a special case whenever Re1 >1. Numerical simulation was also carried out for both EE and EE at special case to illustrate the ideas of the results.
Description
Keywords
HIV/AIDS, Local and Global Stability, Disease free equlilibrium, Endemic equliibrium, Mathematicsl Model, Control Measures
Citation
Ibrahim, M. O., Akinyemi, S. T., Dago, M. M., and Bakare, G. N.