Theory and Modern Applications
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 |