Modeling and analysis of the secondary routine dose against measles in China

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 Parameters and values used in assumptions

Symbol	Definition	Range	Baseline	Unit	Reference
N̅	Total population	-	\(\lambda_{0}/(d'+1)\)	People	[21, 22]
\(\lambda_{0}\)	Birth rate	-	20.75	People Years⁻¹	[21, 22]
d	Nature death and mature rate	-	0.069	Years⁻¹	[21, 22]
β	Infection rate for S	0.08-0.3	0.1	People⁻¹ Years⁻¹	[23, 24]
\(\beta'\)	Infection rate for \(\tilde{V}_{1}\)	0.0088-0.099	0.011	People⁻¹ Years⁻¹	[23, 24]
γ	Recovery rate	0-1	0.9	Years⁻¹	[22, 25]
δ	The proportion of \(\tilde{V}_{1}\) degenerated into S	0.02-0.05	0.02	Years⁻¹	[2, 6]
\(d^{\prime}\)	Childhood mortality rate	-	0.00743	Years⁻¹	[21, 22]
\(\eta_{1}\)	Injection rates for MMR1	0.723-1	0.91	-	[1, 2]
\(\eta_{2}\)	Injection rates of \(V_{1}\) for MMR2	0.3-1	-	-	[1, 2]
\(\eta_{2}^{\prime}\)	Injection rates of S for MMR2	0.3-1	-	-	[1, 2]
τ	Time interval between MMR1 and MMR2	1.3-1.5	1.5	Years	[10, 11]
\(\rho_{1}\)	Effective rate for MMR1	0.724-1	0.98	-	[13, 26]
\(\rho_{2}\)	Effective rate of \(V_{1}\) for MMR2	0.857-1	0.94	-	[13, 26]
\(\rho'_{2}\)	Effective rate of S for MMR2	0.857-1	0.94	-	[13, 26]