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Table 2 Definitions of parameters and variables, and parameter values used for the age-structured Canadian model.*

From: The United States and Canada as a coupled epidemiological system: An example from hepatitis A

Variable/Parameter

Definition

Values

Reference

S i C MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaem4uam1aa0baaSqaaiabdMgaPbqaaiabdoeadbaaaaa@2F9B@

Proportion of susceptible individuals in Canada at a given time t in age class i

N/A (not applicable)

N/A

E i C MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemyrau0aa0baaSqaaiabdMgaPbqaaiabdoeadbaaaaa@2F7F@

Proportion of exposed (infected but not yet infectious) individuals in Canada at a given time t in age class I

N/A

N/A

I i C MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemysaK0aa0baaSqaaiabdMgaPbqaaiabdoeadbaaaaa@2F87@

Proportion of infectious individuals in Canada at a given time t in age class i

N/A

N/A

R i C MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemOuai1aa0baaSqaaiabdMgaPbqaaiabdoeadbaaaaa@2F99@

Proportion of recovered individuals in Canada at a given time t in age class i

N/A

N/A

V i C MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemOvay1aa0baaSqaaiabdMgaPbqaaiabdoeadbaaaaa@2FA1@

Proportion of vaccinated individuals in Canada at a given time t in age class i

N/A

N/A

a i

Rate at which an individual in age class i ages (enters age class i+1)

0.2, 0.2, 0.1, 0.1, 0.1, 0.05, 0 per year for age classes 1, 2, ... 7

N/A

b C

Birth rate

0.015 per year

[43]

d i C MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemizaq2aa0baaSqaaiabdMgaPbqaaiabdoeadbaaaaa@2FBD@

Rate at which an individual in age class i dies

0, 0, 0, 0, 0, 0.0167, 0.0750 per year

[30]

Ï„ i , e n d C MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqiXdq3aa0baaSqaaiabdMgaPjabcYcaSiabdwgaLjabd6gaUjabdsgaKbqaaiabdoeadbaaaaa@351A@

Rate at which a susceptible individual in age class i becomes exposed due to travel in endemic countries

2.69 × 10-3, 1.90 × 10-3, 4.04 × 10-4, 3.19 × 10-4, 2.81 × 10-4, 1.14 × 10-4, 4.02 × 10-5 per year

[15,43,44,45]

Ï„ i , U S C MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqiXdq3aa0baaSqaaiabdMgaPjabcYcaSiabdwfavjabdofatbqaaiabdoeadbaaaaa@3373@

Rate at which a susceptible individual in age class i becomes exposed due to travel in the United States

9.56 × 10-4, 6.59 × 10-4, 7.89 × 10-5, 4.25 × 10-5, 4.34 × 10-5, 1.77 × 10-5, 6.43 × 10-6 per year

[15,43,44,45]

β i j C MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqOSdi2aa0baaSqaaiabdMgaPjabdQgaQbqaaiabdoeadbaaaaa@316A@

Rate at which an infectious person in age class j infects a susceptible person in age class i (domestic transmission)

See Appendix

[15,43,44,45]

g i C MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaem4zaC2aa0baaSqaaiabdMgaPbqaaiabdoeadbaaaaa@2FC3@

Rate at which a susceptible individual in age class i becomes vaccinated

Varies according to scenario

N/A

N i C MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemOta40aa0baaSqaaiabdMgaPbqaaiabdoeadbaaaaa@2F91@

Population size of age class i

2, 2, 4, 4, 4, 6, 4 (millions)

[43]

  1. * The superscript 'C' denotes that the parameter values is speific to Canada. Lack of superscript indicates that the same value is used for Canada and the US.
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BMC Infectious Diseases

ISSN: 1471-2334

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