Table 1.
Parameters used in models
| Parameter | Description | Value used |
|---|---|---|
| βM | Measles transmission parameter, such that in the model framework used here the basic reproduction number of measles (R0M) is equal to
|
Values between 0.00006 and 0.0005 explored in least–squares analyses. Also fitted to the data using MCMC with a uniformly distributed prior (minimum and maximum values as given above) |
| σM | 1/average duration of latent period of measles (rate of transitioning from the measles exposed class to the measles infectious class) | 1/8 days−1 |
| γM | 1/average period of infectiousness with measles (rate of transitioning from the measles infectious class to the measles immunosuppressed class) | 1/7 days−1 |
| ω | 1/average period of measles immunosuppression (rate of transitioning from the measles immunosuppressed class to the measles immune class) | Values between 0.01 and 0.14 days−1 explored in least–squares analyses. Also fitted to the data using MCMC with a uniformly distributed prior (minimum and maximum values as given above) |
| βZ | Second infectious agent transmission parameter such that in the model framework used here the basic reproduction number of the second infectious agent is equal to
|
Values between 0.00006 and 0.0005 explored in least–squares analyses; fixed at a value of 0.000096 for the MCMC analysis (equivalent to R0Z = 1.61) |
| γZ | 1/average period of infectiousness with second infectious agent (rate of transitioning from the infectious class to the susceptible (model 1) or recovered (model 2) class) | 1/7 days−1 |
| αM | Case fatality rate of measles | Values between 0 and 0.5 explored in least–squares analyses. Fitted to the data using MCMC with a uniformly distributed prior with minimum and maximum values of 0 and 1. We used a wider range for the prior in the MCMC analysis than was used in the least–squares analysis, because in the least–squares analysis, it seemed as though the best fits were achieved when αZ took values that were close to the maximum possible value in the least–squares analysis (0.5) – see Supplementary Figures S3 and S4 |
| αZ | Case fatality rate for those infected with secondary infectious agent whilst simultaneously in immunosuppressed class |