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Table 2 Parameters in the model (adapted from [ 1 , 5 , 6 , 15 ])

From: Andronov-Hopf bifurcation and sensitivity analysis of a time-delay HIV model with logistic growth and antiretroviral treatment

Parameter Definition
Λ Constant production rate of healthy CD4+ T-cells from precursors
\(d_{T}\) Natural death rate of healthy CD4+ T-cells
r Logistic growth rate of healthy CD4+ T-cells
\(T_{\mathrm{max}}\) Carrying capacity of healthy CD4+ T-cells
k Infection rate of healthy CD4+ T-cells by free infectious virus
η Fraction of infections leading to latently infected CD4+ T-cells
\(d_{L}\) Death rate of latently infected CD4+ T-cells
\(d_{I}\) Death rate of productively infected CD4+ T-cells
a Activation rate from latently to productively infected CD4+ T-cells
N Average number of free virus released by a productively infected CD4+ T-cell during its mean lifetime \(1/d_{I}\)
c Clearance rate of free virus
\(n_{rt}\) Drug efficacy of RTI \((0 \leq n_{rt} < 1)\)
\(n_{p}\) Drug efficacy of PI \((0 \leq n_{p} < 1)\)
τ Time delay for transformation from latently to productively infected CD4+ T-cells