Theory and Modern Applications
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 |