Skip to main content

Theory and Modern Applications

Table 2 Model parameters and their baseline values

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