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Table 1 Definition and calculated value of parameters in equations (1)–(7)

From: Investigating the use of wasps Anagyrus lopezi as a biological control agent for cassava mealybugs: modeling and simulation

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