Theory and Modern Applications
Table 1 Numerical values of parameters
From: An SEIR model with infected immigrants and recovered emigrants
Param. | Description | Numerical value (per week) | Reference/comment |
|---|---|---|---|
μ | mortality rate, excluding death directly due to measles | 0.000298/week per week | [19] |
δ | rate of human deaths due to measles | 0.019/week | [5] |
\(\alpha _{1}\) | transfer rate from E-class to I-class | 1.05/week | [10] |
\(\alpha _{2}\) | transfer rate from I-class to R-class (recovery rate) | 0.049/week | [10] |
\(P_{0}\) | local population size when disease-free | 57.79 million | [24] |
\(K_{0}\) | internal growth rate in class S | 0.25Â \(\mu P_{0}\)/week | [8] |
\(K_{1}\) | rate of inflow of latently infected migrants | 0–15 p.a. | variable |
\(K_{2}\) | rate of inflow of infectious migrants | 0 | nominal |
\(K_{3}\) | rate of vaccination of newborns | 0.75Â \(\mu P_{0}\)/week | [8] |
b | saturation constant | 0.01/week | estimated |
β | contact rate at disease-free state | \(1.409/P_{0}\) per week | fitted from [8] |