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Theory and Modern Applications

Table 1 Description of temperature dependent model parameters used in system (6). All the parameter values were adopted from the work of Lord et al. [16]

From: A fractional-order Trypanosoma brucei rhodesiense model with vector saturation and temperature dependent parameters

Function

Definition

Parameter

Baseline value

Range

\(b_{l}\) (\(\mathrm{day} ^{-1}\))

Larviposition rate

\(d_{1}\)

0.1050

0.1046 ± 0.0004

Larviposition rate

\(d_{2}\)

0.0053

0.0052 ± 0.0001

\(\mu _{v}\) (\(\mathrm{day} ^{-1}\))

Adult mortality rate

\(a_{1}\)

0.027

0.027 ± 0.001

Adult mortality rate

\(a_{2}\)

0.153

0.153 ± 0.020

\(\mu _{p}\) (\(\mathrm{day} ^{-1}\))

Pupal mortality rate

\(b_{1}\)

0.0019

0.0019 ± 0.0004

Pupal mortality rate

\(b_{2}\)

0.006

0.006 ± 0.001

Pupal mortality rate

\(b_{3}\)

1.4881

1.481 ± 0.681

Pupal mortality rate

\(b_{4}\)

0.003

0.003 ± 0.001

Pupal mortality rate

\(b_{5}\)

1.094

1.211 ± 0.117

\(\sigma _{l}\) (\(\mathrm{day} ^{-1}\))

Pupal emergence rate

\(c_{1}\)

0.05884

0.05884 ± 0.00289

Pupal emergence rate

\(c_{2}\)

4.8829

4.8829 ± 0.0993

Pupal emergence rate

\(c_{3}\)

−0.2159

−0.2159 ± 0.0050