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Table 3 Sensitivity of \(I_{h}^{*}\) corresponding to all parameters:

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

Parameters Initial 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 61.66 36.37 −25.29 −41.01524489 9.333333 −382.809
β 0.4 2 1.6 400 11.94 36.37 24.43 204.6063652 9.333333 1909.659
κ 0.06 0.4 0.34 566.6666667 36.56 38.46 1.9 5.196936543 13.22222 68.71505
γ 0.002 0.07 0.068 3400 33.51 37.23 3.72 11.10116383 79.33333 880.6923
\(\beta _{1}\) 0.001 0.25 0.249 24,900 36.03 37.5 1.47 4.079933389 581 2370.441
\(\mu _{v}\) 0.2 0.9 0.7 350 38.02 32.43 −5.59 −14.70278801 8.166667 −120.073
\(\lambda _{h}\) 21 30 9 42.85714286 30.42 43.82 13.4 44.04996713 1 44.04997
ψ 2 12 10 500 10.37 36.37 26 250.7232401 11.66667 2925.104
ϕ 0.01 0.1 0.09 900 67.79 36.37 −31.42 −46.34901903 21 −973.329
θ 0.0001 0.001 0.0009 900 7.029 36.37 29.341 417.4277991 21 8765.984
\(\mu _{h}\) 0.06 0.6 0.54 900 37.78 26.35 −11.43 −30.2541027 21 −635.336
ρ 0.01 0.5 0.49 4900 35.03 42.33 7.3 20.83928062 114.3333 2382.624
\(\lambda _{v}\) 10 32 22 220 31.57 36.53 4.96 15.71111815 5.133333 80.65041
δ 0.3 0.9 0.6 200 36.37 11.62 −24.75 −68.05059115 4.666667 −317.569