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Theory and Modern Applications

Table 2 Description of non-temperature dependent model parameters used in system (6). All the parameter values were adopted from the work of Ndondo et al. [13]

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

Symbol

Description

Value

Units

W

Proportion of female flies

0.6

Dimensionless

\(\mu _{h}\)

Human population birth/natural death rate

\(\frac{1}{50\times 365}\)

\(\mathrm{Day} ^{-1}\)

\(\mu _{a}\)

Animal population birth/death rate

\(\frac{1}{15\times 365}\)

\(\mathrm{Day} ^{-1}\)

\(\gamma _{h}\)

Human recovery rate

\(\frac{1}{30}\)

\(\mathrm{Day} ^{-1}\)

\(\gamma _{a}\)

Animal recovery rate

\(\frac{1}{25}\)

\(\mathrm{Day} ^{-1}\)

ξ

Tsetse fly biting rate

\(\frac{1}{4}\)

\(\mathrm{Day} ^{-1}\)

p

Proportion of tsetse fly bite on animal

0.7

Dimensionless