Theory and Modern Applications
From: A mathematical model for fall armyworm management on maize biomass
Symbol | Definition | Baseline value | Source |
---|---|---|---|
b | Number of eggs laid per day per female moth | 125 eggs per moth per day | [28] |
W | Proportion of female adult moth | 0.5 | [33] |
\(\alpha _{E}^{-1}\) | Average duration of egg stage | 3 (3–5) days | [28] |
\(\alpha _{L}^{-1}\) | Development time of the larva | 14 (14–30) days | [28] |
\(\alpha _{P}^{-1}\) | Development time of pupae | 9 (8–30) days | [28] |
\(\mu _{A}^{-1}\) | Moth life span | 18 (15–21) days | [28] |
\(K_{M}\) | Maximum biomass of maize plants | 50 kg plant−1 | Estimate. |
\(K_{E},K_{L}\) | Egg environmental carrying capacity | 108 | Estimate. |
\(K_{L}\) | Egg environmental carrying capacity | 106 | Estimate. |
\(\mu _{E},\mu _{L},\mu _{P}\) | Natural mortality rate of immature stages | 0.01 day−1 | Estimate. |
β | Plant attack rate by caterpillars | 5 × 10−8 day−1 | Estimate. |
r | Growth rate of maize plants | 0.05 day−1 | Estimate. |
e | Leaf impact factor | 0.2 day−1 | Estimate. |
\(u_{E},u_{L},u_{P},u_{A}\) | Implications of parasite control | varied | Â |