This paper focused on determining the asymptotical stability of the new model which establishes that a disease-free equilibrium state exists and is locally asymptotically stable when the basic reproduction number 0≤R0<1 and the following threshold conditions (0≤R1<1, 0≤R2<1, 0≤R3<1, 0≤R4<1 and 0≤R5<1, 0≤R6<1, 0≤R7<1, 0≤R81) are satisfied. Results from the model analysis shows that the proportion of infected juvenile and adult sub-population in the presence of High Active Anteritroviral Therapy

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... HAART) drastically reduce to a zero (R0=0) as compared to the infected age-structured population when treatment rate is low and the net transmission rate is near zero.