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Table 1 Definition of model parameters and the range

From: The effect of group A streptococcal carrier on the epidemic model of acute rheumatic fever

Symbol

Definition

Range

Reference

γ 1

Recovery rate conditioned on perfect treatment

0.1-1 day −1

[10, 15, 17]

γ 2

Recovery rate of an ARF patient

0.1-1 day −1

[1]

θ

Efficacy of GAS treatment

0.8-1

[6, 15]

ϕ

Contact rate

1-10 times*day −1

[12]

p 1

Transmission probability by a symptomatic case

0.89-0.99

[12]

p 2

Transmission probability by a carrier

0.001-0.05

[12]

ε

Transfer rate of carrier to infectious state

variable

[12, 13]

α

A symptomatic fraction over the new infections

variable

-

δ 1

ARF development rate from GAS infectious sate

0.0027-0.08 day −1

[2, 15]

δ 2

ARF development rate from GAS carrier state

variable

[11]