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Table 4 Sensitivity of \(I_{v}^{*}\) corresponding to all parameters:

From: Dynamical features of pine wilt disease through stability, sensitivity and optimal control

Parameters Initial value Final value Change Percentage change Initial value of \(I_{v}^{*}\) Final value of \(I_{v}^{*}\) Change Percentage change \(C_{5}/ 42.85714286\) \(C_{9}*C_{10}\)
α 0.06 0.3 0.24 400 36.95 30.47 −6.48 −17.53721245 9.333333 −163.681
β 0.4 2 1.6 400 17.69 30.47 12.78 72.24420577 9.333333 674.2793
κ 0.06 0.4 0.34 566.6666667 30.57 31.16 0.59 1.929996729 13.22222 25.51885
γ 0.002 0.07 0.068 3400 12.25 51.08 38.83 316.9795918 79.33333 25,147.05
\(\beta _{1}\) 0.001 0.2 0.199 19,900 26.16 57.58 31.42 120.1070336 464.3333 55,769.7
\(\mu _{v}\) 0.2 0.9 0.7 350 125.1 9.77 −115.33 −92.1902478 8.166667 −752.887
\(\lambda _{h}\) 21 30 9 42.85714286 28.27 32.78 4.51 15.95330739 1 15.95331
ψ 2 12 10 500 16.18 30.47 14.29 88.31891224 11.66667 1030.387
ϕ 0.01 0.1 0.09 900 38.07 30.47 −7.6 −19.96322564 21 −419.228
θ 0.0001 0.001 0.0009 900 12.65 30.47 17.82 140.8695652 21 2958.261
\(\mu _{h}\) 0.06 0.6 0.54 900 30.95 26.52 −4.43 −14.31340872 21 −300.582
ρ 0.01 0.5 0.49 4900 30.01 32.35 2.34 7.797400866 114.3333 891.5028
\(\lambda _{v}\) 10 32 22 220 8.336 32.93 24.594 295.0335893 5.133333 1514.506
δ 0.3 0.9 0.6 200 30.47 17.31 −13.16 −43.19002297 4.666667 −201.553