Abstract
AbstractThis 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 ≤ R8 < 1) 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 (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.
Publisher
Cold Spring Harbor Laboratory
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