Stability Analysis and Optimal Control Strategy for Prevention of Pine Wilt Disease

Table 1

Parameters used for numerical simulation.

Notation	Parameter description	Estimated value	Ref.
Λℎ	The recruitment rate of the host pine population	0.009041 day^−1	Assumed
Λ𝑣	A constant emergence rate of the vector pine sawyer beetle	0.002691 day^−1	Assumed
𝜇1	The natural death rate of host population	0.0000301 day^−1	[22]
𝜇2	The natural death rate of vector population	0.011764 day^−1	[23]
𝛼	The rate in which infected beetles transmit nematode by contact	0.00166 day^−1	[24]
𝛽	The rate in which infected beetles transmit nematode by oviposition	0.0004 day^−1	[24]
𝛾	The rate in which the adult beetles have pinewood nematode when it escapes from dead trees	0.00305 day^−1	[25]
𝜙	The number of contacts during maturation feeding period	0.2 day	[26]
𝜓	The number of contacts during the oviposition period	0.41 day^−1	Assumed
𝜃	The probability in which susceptible host pine is not infectious by nematode and ceases oleoresin exudation naturally	0.0000301 day^−1	Assumed