Skip to main content

Table 1 Parameter values used for sensitivity analysis

From: Qualitative analysis and sensitivity based optimal control of pine wilt disease

Parameter Description Numerical Value Reference
\(\Pi _{h}\) The recruitment rate of the host pine population 0.009041 [9]
\(\Pi _{v}\) A constant emergence rate of the vector pine sawyer beetle 0.002691 [9]
\(\mu _{v}\) The natural death rate of vector population 0.011764 [10]
\(\mu _{h}\) The natural death rate of host population 0.0000301 [11]
β The rate at which the beetles get directly during mating 0.00305 Assumed
\(\beta _{3}\) The rate in which the adult beetles have pinewood nematode when it escapes from dead trees 0.00305 [12]
\(\beta _{1}\) The rate in which infected beetles transmit nematode by contact 0.00166 [13]
\(\delta _{1} \) The number of contacts during maturation feeding period 0.2 [14]
\(\beta _{2}\) The rate in which infected beetles transmit nematode by oviposition 0.0004 [13]
\(\delta _{2}\) The number of contacts during the oviposition period 0.41 [9]
η The probability in which the susceptible host pine is not infectious by nematode and ceases oleoresin exudation naturally 0.0000301 [9]
σ The felling rate of infectious pine trees 0.004 Assumed