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Stability Analysis Of Disease Free Equilibrium State (E0) For An Endemic Deterministic Model For HIV/AIDS

Victor, A. O.; Oduwole, K. H.

2020-04-02 hiv aids
10.1101/2020.03.31.20048918 medRxiv
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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 [&le;] R0 < 1 and the following threshold conditions (0 [&le;] R1 < 1, 0 [&le;] R2 < 1, 0 [&le;] R3 < 1, 0 [&le;] R4 < 1 and 0 [&le;] R5 < 1, 0 [&le;] R6 < 1, 0 [&le;] R7 < 1, 0 [&le;] 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.

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