Table 1 Explanation of system’s feature.

From: Deterministic-stochastic analysis of fractional differential equations malnutrition model with random perturbations and crossover effects

Symbols

Explanation

Values

\(\mathcal {S}_{\textbf{f}}\)

Number  of  females  susceptible  to  nutrients

30

\(\bar{\mathcal {M}}_{\textbf{b}}\)

Number  of  poor  nutrient  boys

2

\(\bar{\mathcal {M}}_{\textbf{g}}\)

Number  of  poor  nutrient  girls

4

\(\bar{\mathcal {U}}\)

Percentage of  underweight  individuals

1

\(\mathcal {B}\)

Generation  of  new  female

0.01 day\(^{-1}\)

\(\varepsilon\)

Vertical spread  to  a  new  born  community

0.001 day\(^{-1}\)

\(\lambda _{\textbf{b}}\)

Emaciated  boy’s  transfer  rate  from  vulnerable  female  cohort

0.1 day\(^{-1}\)

\(\lambda _{\textbf{g}}\)

Emaciated  girl’s  transfer  rate  from  vulnerable  female  cohort

0.2 day\(^{-1}\)

\(\vartheta\)

Death  rate

0.1 day\(^{-1}\)

\(\vartheta _{\textbf{b}}\)

Natural  restoration  rate

0.3 day\(^{-1}\)

\(\gamma _{\textbf{b}}\)

The  proportion  of  boys  who  progress  from  malnourishment  to  underweight

0.01  cell ml\(^{-1}\) day\(^{-1}\) person\(^{-1}\)

\(\gamma _{\textbf{g}}\)

The  proportion  of  girls  who  progress  from  malnourishment  to  underweight

0.1 day\(^{-1}\)

\(\chi _{\textbf{b}}\)

Proportion  of  underweight  shifted  to \(\bar{\mathcal {M}}_{\textbf{b}}\)

0.014 day\(^{-1}\)

\(\chi _{\textbf{g}}\)

Proportion  of  underweight  shifted  to \(\bar{\mathcal {M}}_{\textbf{g}}\)

0.01 day\(^{-1}\)

\(\vartheta _{1}\)

Health  promoting  candidacy  evaluation  (per  day)

[0,1]

\(\vartheta _{2}\)

Undernourished  girl’s  treatment  rate  (per  day)

[0,1]

\(\delta _{\textbf{g}}\)

Undernourished  girl’s  recovery  rate

0.1 day\(^{-1}\)