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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