Mathematical Modelling of a Staged Progression HIV/AIDS Model with Control Measures

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.