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

Advances in Continuous and Discrete Models

Theory and Modern Applications

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

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