Table 2 Definition of model parameters with their estimated value or their varying range.
Parameter | Meaning | Value | References |
|---|---|---|---|
\({N}_{1}^{tot}\) | Total number of patients involved in the study | \({N}_{1}^{tot}=35\) | Observed |
\({N}_{1}\) | Daily average number of patients in the ward (on any day) | \({N}_{1}=\) 13 | Estimated |
\({N}_{2}\) | Number of nurses assigned to the ward (on any day) | \({N}_{2}=32\) | Observed |
\({N}_{3}\) | Number of medical doctors assigned to the ward (on any day) | \({N}_{3}=15\) | Observed |
\({\overline{c} }_{ij}\) | Daily average cumulative number of contacts between each individual in population \(i\) and all individuals in population \(j\) | Values in Fig. 3 | Estimated |
\({T}_{ij}^{\#}\) | Average duration (s) per "contagious" contact between a susceptible individual in population \(i\) and a contagious one in population \(j\) | Values in Fig. 3 | Estimated |
\({\upsilon }_{tr}\) | Average number of transmissions per hour of "contagious" contact | \({\upsilon }_{T}=0.095 {h}^{-1}\) | Estimated |
\({P}_{ij}\) | Probability of transmission in time interval \({T}_{ij}\) between a susceptible individual in population \(i\) and a contagious one in population \(j\) | Derived from \({T}_{ij}^{\#}\) and \({\upsilon }_{tr}\) (Fig. 3) | Estimated |
\({\beta }_{ij}\) | Per capita transmission rate for daily "contagious" contacts between one \(i\) susceptible and one \(j\) contagious according to susceptibilities \(\left(\alpha \right)\) and infectivities \(\left(\xi \right)\) Multiplicative factor \(\left({f}_{\beta }\right)\) of the transmission rate matrix | Derived from : \({P}_{ij}\) \({\alpha }_{1}=\left\{\mathrm{2,4},6\right\} ;{\alpha }_{2}=\left\{.\mathrm{5,1}\right\};{\alpha }_{3}=\left\{.25,.5\right\}; {\xi }_{11}=\{\mathrm{1,2},3\}\) \({\xi }_{12}=\left\{\mathrm{1,2}\right\}; {\xi }_{22}=\left\{.\mathrm{5,1},2\right\};{{\xi }_{13}=\left\{\mathrm{1,2}\right\}; \xi }_{33}=\{.25,.\mathrm{5,1}\};\) \({f}_{\beta }=\{\mathrm{3,4},5\}\) | Estimated and |
\({\sigma }^{-1}\) | Mean latent period in day (infected but not yet infectious individuals) | 0.5 day | Literature24 |
\({\gamma }^{-1}\) | Mean infectious period for patients in days (contagious individuals) | From 1 to 4 days in step 1 | Literature34 |
\({z}_{1}\) | Number of new patients entering the ward daily | Mean of 2 patients per day \(\approx 22/10\) | Estimated |
\(\phi\) | Probability for a new patient to be in contagious state on admission | 0.20 corresponding to \(\approx 4/22\) | Estimated |
\(\tau\) | Proportion of HCP present in the ward at the same time | 1/3 | Estimated |
