Theory and Modern Applications
Table 2 Sensitivity indices of \(\pmb{R_{0}}\) , \(\pmb{I_{h}^{*}}\) , and \(\pmb{I_{v}^{*}}\) , based on the parameter values given in Table 1
From: Qualitative analysis and sensitivity based optimal control of pine wilt disease
Parameter | Sensitivity Index | Sensitivity Index | Sensitivity Index |
|---|---|---|---|
\(\boldsymbol{R_{0}}\) | \(\boldsymbol{I^{*}_{h}}\) | \(\boldsymbol{I^{*}_{v}}\) | |
β | 0.0385 | 0.0947 | 0.127 |
\(\Pi _{v}\) | 1.0 | 2.143 | 2.882 |
\({\mu _{v}}\) | −2.0 | −3.992 | −5.370 |
\(\beta _{3}\) | 0.961 | 1.755 | 2.361 |
\(\Pi _{h}\) | 0.961 | 2.755 | 2.361 |
\(\beta _{1}\) | 0.961 | 2.048 | 1.755 |
\(\delta _{1} \) | 0.961 | 2.048 | 1.755 |
\(\beta _{2}\) | 0.0000143 | 0.0000304 | 0.0000261 |
\(\delta _{2}\) | 0.0000143 | 0.0000304 | 0.0000261 |
η | 0.0000143 | 0.0000304 | 0.0000261 |
\(\mu _{h}\) | −0.961 | −2.048 | −1.755 |
σ | −0.961 | −2.755 | −2.361 |