Table 2 List of parameters and their values in the model.
From: Assessing the effect of social contact structure on the impact of pneumococcal conjugate vaccines
Parameter | Interpretation | Value | Range tested | Source |
|---|---|---|---|---|
\(\:{\beta\:}_{V}^{\left(i\right)}(={\beta\:}_{N}^{\left(i\right)})\) | Age-specific susceptibility to carriage acquisition | \(\:{\beta\:}^{(0,....,4)}=0.015\) \(\:{\beta\:}^{(5,...,19)}=\:0.004\) \(\:{\beta\:}^{(20,...,59)}=\:0.003\) \(\:{\beta\:}^{(60,...,84)}=\:0.005\) | \(\:\pm\:20\text{\%}\) for high and low population susceptibility, respectively | |
\(\:{1/\gamma\:}_{i}\) | Age-specific average duration of carriage | See Supplementary Figure 1 | / | Fitted to observed data (Supplementary Data 1) |
\(\:{\delta\:}_{i}\) | Aging rate | \(\:{1yr}^{-1}\) | / | Each age group is 1 year |
\(\:{k}_{N}(={k}_{V})\) | Competition parameter: Effect of existing VT (NVT) carriage on acquiring NVT (VT) carriage | \(\:0.5\) | \(\:0.1,\:0.25,\:0.75\) | |
\(\:c\) | Fraction of co-carriers returning to \(\:{C}_{V}\) (\(\:{C}_{N}\)) upon reinfection with VT (NVT) | \(\:0.5\) | / | |
\(\:q\) | Relative infectiousness with each serotype for co-carriers | \(\:0.5\) | / | |
\(\:VE\) | Vaccine efficacy against carriage acquisition | \(\:60\%\) | \(\:33\%,\:77\%\) | |
\(\:{p}_{V}\) | Vaccine coverage | \(\:90\%\) | \(\:50\%\) | |
\(\:{\alpha\:}\!_{V}\) | Waning rate of vaccine-conferred immunity | \(\:0\) per year | \(\:0.1,\:0.2,\:0.3\) per year | |
\(\:{f}_{C}^{\left(i\right)}\left(0\right)\) | Initial prevalence of carriers in age group \(\:i\) | \(\:{f}_{C}^{\left(0,...,4\right)}\left(0\right)=0.5\) \(\:{f}_{C}^{\left(5,...,19\right)}\left(0\right)=0.2\) \(\:{f}_{C}^{\left(20,\dots\:,59\right)}\left(0\right)=0.1\) \(\:{f}_{C}^{\left(60,...,84\right)}\left(0\right)=0.1\) | (i) Lower carriage prevalence in age 0, (ii) Higher carriage prevalence in all ages See Supplementary Figure 4 | 26, observed data (Supplementary Data 2) |
\(\:{f}_{V}\left(0\right),\:{f}_{N}\left(0\right)\) | Initial proportions of VT-, NVT-carriers | \(\:{f}_{V}\left(0\right):\:0.6\)\(\:{f}_{N}\left(0\right):\:0.4\) | \(\:{f}_{V}\left(0\right):\:0.2-0.8\), \(\:{f}_{N}\left(0\right):\:0.2\) | Observed data (Table 1, Supplementary Data 3) |
