Theory and Modern Applications
Table 1 Definition and calculated value of parameters in equations (1)–(7)
Parameter | Definition | Value | Unit |
|---|---|---|---|
• Cassava Mealybug | |||
\(\alpha _{1}\) | the fraction of cassava mealybug of the egg stage that develop into cassava mealybug of the instar stage in one time step | 0.12990 | – |
\(\alpha _{2}\) | the fraction of cassava mealybug of the instar stage that develop into cassava mealybug of the adult stage in one time step | 0.05710 | – |
\(\alpha _{3}\) | the natural death rate of cassava mealybug of the adult stage | 0.04810 | \(\mathrm{day}^{-1}\) |
\(\alpha _{4}\) | the fraction of survived female cassava mealybugs of the adult stage in the reproductive period | 0.63530 | – |
\(r_{1}\) | the survival rate of cassava mealybug of the egg stage that develop into cassava mealybug of the instar stage | 0.95750 | \(\mathrm{day}^{-1}\) |
\(r_{2}\) | the survival rate of cassava mealybug of the instar stage that develop into cassava mealybug of the adult stage | 0.96660 | \(\mathrm{day}^{-1}\) |
\(r_{3}\) | the fraction of female cassava mealybugs of the adult stage | 0.97700 | – |
\(v_{1}\) | the average number of eggs that are laid by a female cassava mealybug of the adult stage in one time step | 16.92500 | \(\mathrm{eggs} \cdot \mathrm{day}^{-1}\) |
• Wasps Anagyrus lopezi | |||
\(\gamma _{1}\) | the fraction of wasps Anagyrus lopezi of the egg stage that develop into Anagyrus lopezi of the larva stage in one time step | 0.50000 | – |
\(\gamma _{2}\) | the fraction of wasps Anagyrus lopezi of the larva stage that develop into Anagyrus lopezi of the pupa stage in one time step | 0.16670 | – |
\(\gamma _{3}\) | the fraction of wasps Anagyrus lopezi of the pupa stage that develop into Anagyrus lopezi of the adult stage in one time step | 0.16670 | – |
\(\delta _{1}\) | the natural death rate of wasps Anagyrus lopezi of the adult stage per a time step | 0.06040 | \(\mathrm{day}^{-1}\) |
\(s_{1}\) | the survival rate of wasps Anagyrus lopezi of the egg stage that develop into Anagyrus lopezi of the larva stage | 0.78325 | \(\mathrm{day}^{-1}\) |
\(s_{2}\) | the survival rate of wasps Anagyrus lopezi of the larva stage that develop into Anagyrus lopezi of the pupa stage | 0.78325 | \(\mathrm{day}^{-1}\) |
\(s_{3}\) | the survival rate of wasps Anagyrus lopezi of the pupa stage that develop into Anagyrus lopezi of the adult stage | 0.78325 | \(\mathrm{day}^{-1}\) |
\(s_{4}\) | the fraction of female adult wasps Anagyrus lopezi | 0.39710 | – |