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| We present a mathematical model to investigate theoretically and numerically the effect of latently infected cells in the presence of immune effectors in modeling HIV pathogenesis. Additionally, by introducing drug therapy, we assess the effect of treatments consisting of a combination of several antiretroviral drugs. A periodic model of bang-bang type and a pharmacokinetic model are employed to estimate the drug efficacies. We study the effectiveness of the treatment with respect to the time when it is introduced exploring whether immediate antiretroviral therapy can reduce HIV infection of resting CD4 T-cells. We also investigate numerically how time-varying drug efficacy due to drug dosing regimen and/or suboptimal adherence affects the antiviral response and the emergence of drug resistance. |
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