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Theory and Modern Applications

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 \((0 \leq n_{p} < 1)\)

Ï„

Time delay for transformation from latently to productively infected CD4+ T-cells