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Theory and Modern Applications

Table 13 Sensitivity indices for \(\pmb{R_{0}}\) and for chronic infected T-cells and virus populations for \(\pmb{R_{0} \approx 1}\)

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

Parameter

\(\boldsymbol{R_{0}}\)

\(\boldsymbol{T_{2}^{*}}\)

\(\boldsymbol{L_{2}^{*}}\)

\(\boldsymbol{I_{2}^{*}}\)

\(\boldsymbol{V_{2}^{*}}\)

\(T_{\mathrm{max}}\)

0.9024

0

1525.9

1525.9

1525.9

Λ

0.00976

0

16.618

16.618

16.618

r

0.2472

0

419.24

419.24

419.24

\(d_{T}\)

−0.3449

0

−583.54

−583.54

−583.54

\(d_{L}\)

−0.000196

0.000196

−0.3414

−0.332

−0.33164

a

0.00196

−0.00196

2.3261

3.3164

3.3164

c

−1

1

−1690.2

−1690.2

−1691.2

k

1

−1

1690.2

1690.2

1690.2

N

1

−1

1690.2

1690.2

1691.2

\(n_{rt}\)

−1.3529

1.3529

−2286.7

−2286.7

−2286.7

\(n_{p}\)

−1.5

1.5

−2535.3

−2535.3

−2536.8

η

−0.000198

0.000198

−0.6652

0.6650

−0.3350

\(d_{I}\)

0

0

0

−1

0