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

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 Sensitivity indices for virus-free healthy T-cell population \(\pmb{T_{1}^{*}}\)

Parameter	Index	Parameter	Index
\(T_{\mathrm{max}}\)	\(1-\frac{2r\Lambda}{T_{\mathrm{max}}D}\)	Λ	\(\frac{2r}{T_{\mathrm{max}}D}\)
r	\(-\frac{2r(\Lambda-d_{T}T_{1}^{*})}{T_{\mathrm{max}}D}\)	\(d_{T}\)	\(-\frac{d_{T}}{\sqrt{(r-d_{T})^{2}+\frac{4r\Lambda}{T_{\mathrm{max}}}}}\)

Where \(D = (r-d_{T})^{2}+\frac{4r\Lambda}{T_{\mathrm{max}}}+(r-d_{T})\sqrt{(r-d_{T})^{2}+\frac{4r\Lambda}{T_{\mathrm{max}}}}\).