Modelling the Periodic Outbreak of Measles in Mainland China

Table 1

Interpretation and values of the parameters used in the simulation.

Parameters	Description	Default value	Sources
μ	Natural death rate (month^−1)	1.142 × 10^−3	Calculated
σ	Rate of progression to infected stage from the exposed (month^−1)	2.17	[11]
γ	Recovery rate for the infected stage (month^−1)	3	[11]
Λ	Recruitment rate (month^−1)	1589357	[9]
ω	Rate of waning immunity (month^−1)	0.0033	[19]
	Recovery rate for the asymptomatic infected stage (month^−1)	6	LS
η	Correction factor	0.01	LS
ξ	Correction factor	0.001	LS
θ	Proportion of progression to symptomatic infected stage	0.004	LS
p	Coverage rate of vaccine for entire population (month^−1)	0.00014	LS
β(t)	Periodic transmission rate of symptomatic infection (month^−1)		Assumed
a	Baseline transmission rate (month^−1)	1.9616 × 10^−9	LS