Table 6 Sensitivity indices for chronic productive virus population \(\pmb{V_{2}^{*}}\)

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

\(\frac{R_{0} SI(T_{1}^{*}|T_{\mathrm{max}})}{R_{0}-1}-\frac{\Lambda T_{\mathrm{max}}SI(T_{1}^{*}|T_{\mathrm{max}})+rT_{1}^{*}T_{2}^{*}}{\Lambda T_{\mathrm{max}}+rT_{1}^{*}T_{2}^{*}}\)

Λ

\(\frac{R_{0} SI(T_{1}^{*}|\Lambda)}{R_{0}-1}+\frac{\Lambda T_{\mathrm{max}}(1-SI(T_{1}^{*}|\Lambda))}{\Lambda T_{\mathrm{max}}+rT_{1}^{*}T_{2}^{*}}\)

r

\(\frac{R_{0} SI(T_{1}^{*}|r)}{R_{0}-1}+\frac{r T_{1}^{*} T_{2}^{*}-\Lambda T_{\mathrm{max}}SI(T_{1}^{*}|r)}{\Lambda T_{\mathrm{max}}+rT_{1}^{*}T_{2}^{*}}\)

\(d_{T}\)

\(\frac{R_{0} SI(T_{1}^{*}|d_{T})}{R_{0}-1}-\frac{\Lambda T_{\mathrm{max}}SI(T_{1}^{*}|d_{T})}{\Lambda T_{\mathrm{max}}+rT_{1}^{*}T_{2}^{*}}\)

\(d_{L}\)

\(-\frac{R_{0} SI(T_{2}^{*}|d_{L})}{R_{0}-1}+\frac{r T_{1}^{*} T_{2}^{*}SI(T_{2}^{*}|d_{L})}{\Lambda T_{\mathrm{max}}+rT_{1}^{*}T_{2}^{*}}\)

a

\(-\frac{R_{0} SI(T_{2}^{*}|a)}{R_{0}-1}+\frac{r T_{1}^{*} T_{2}^{*}SI(T_{2}^{*}|a)}{\Lambda T_{\mathrm{max}}+rT_{1}^{*}T_{2}^{*}}\)

c

\(-\frac{R_{0} SI(T_{2}^{*}|c)}{R_{0}-1}+\frac{r T_{1}^{*} T_{2}^{*}SI(T_{2}^{*}|c)}{\Lambda T_{\mathrm{max}}+rT_{1}^{*}T_{2}^{*}}\)

k

\(- \frac{R_{0} SI(T_{2}^{*}|k)}{R_{0}-1}+\frac{r T_{1}^{*} T_{2}^{*}SI(T_{2}^{*}|k)}{\Lambda T_{\mathrm{max}}+rT_{1}^{*}T_{2}^{*}}-1\)

N

\(-\frac{R_{0} SI(T_{2}^{*}|N)}{R_{0}-1} +\frac{r T_{1}^{*} T_{2}^{*}SI(T_{2}^{*}|N)}{\Lambda T_{\mathrm{max}}+rT_{1}^{*}T_{2}^{*}}\)

\(n_{rt}\)

\(-\frac{R_{0} SI(T_{2}^{*}|n_{rt})}{R_{0}-1} +\frac{r T_{1}^{*} T_{2}^{*}SI(T_{2}^{*}|n_{rt})}{\Lambda T_{\mathrm{max}}+rT_{1}^{*}T_{2}^{*}}+\frac{n_{rt}}{1-n_{rt}}\)

\(n_{p}\)

\(-\frac{R_{0} SI(T_{2}^{*}|n_{p})}{R_{0}-1}+\frac{r T_{1}^{*} T_{2}^{*}SI(T_{2}^{*}|n_{p})}{\Lambda T_{\mathrm{max}}+rT_{1}^{*}T_{2}^{*}}\)

η

\(-\frac{R_{0} SI(T_{2}^{*}|\eta)}{R_{0}-1}+\frac{r T_{1}^{*} T_{2}^{*}SI(T_{2}^{*}|\eta)}{\Lambda T_{\mathrm{max}}+rT_{1}^{*}T_{2}^{*}}\)