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 |