Abstract
The effect of perfect drug adherence towards controlling the disease HIV/AIDS is discussed through impulsive differential equations. Here, we have assumed the model with both drugs RTIs and IL-2 that are taken at each impulse \({t} = {t}_{{k}} ({k} = 1, 2, 3,\ldots )\) and \({t} = {T}_{l} (l = 1, 2, 3,\ldots )\) respectively. Furthermore, we have considered that the effects of the drugs are instantaneous. However, the system endures a prompt change in the state. Here, we have considered the mathematical models including combination of drug therapies (\(\mathrm{T}\)-20 and \(\mathrm{IL}\)-2). Here, we have mainly studied the dynamical behavior of the system in the presence of drug. Using impulsive differential equations, dosing interval and threshold value of dosages can be obtained more precisely. We also have determined the threshold value of the drug dosage and the dosing interval for which the disease-free equilibrium remains stable.
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Roy, P.K. (2015). Perfect Drug Adherence. In: Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-287-852-6_7
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DOI: https://doi.org/10.1007/978-981-287-852-6_7
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