Table 1 The parameters of the model.
From: Extended compartmental model for modeling COVID-19 epidemic in Slovenia
Parameter | Meaning | Value (range)/description |
|---|---|---|
\(u\left(t\right)\) | Proportion of vaccinated | Estimated from daily vaccination reports, age-stratified |
\(\lambda \left(t\right)\) | Force of infection | Calculated from transmission coefficients and contact matrices (see age-stratified model) |
\(\frac{1}{a\left(t\right)}\) | Mean duration of latent period | (3–5) Days, depends of SARS-CoV-2 variants |
\(\frac{1}{\gamma \left(t\right)}\) | Mean infectious period | (3–8) Days, depends of SARS-CoV-2 variants |
\(\frac{1}{{\gamma }_{M}\left(t\right)}\) | Mean duration of mild/asymptomatic infection | (7–14) Days, depends of SARS-CoV-2 variants |
\(\frac{1}{{\gamma }_{H}\left(t\right)}\) | Mean duration of non-ICU hospitalization | (10–15) Days |
\(\frac{1}{{\gamma }_{Z}\left(t\right)}\) | Mean duration of the disease before death in nursing/retirement home | 14 Days |
\(\frac{1}{{\gamma }_{C}\left(t\right)}\) | Mean duration of ICU hospitalization | (14–21) Days |
\({p}_{M}\left(t\right)=1-{p}_{H}\left(t\right)-{p}_{Z}\left(t\right)\) | Proportion of mild/asymptomatic infections | Computed from proportions \({p}_{H}\left(t\right)\) in \({p}_{Z}\left(t\right)\), age-stratified |
\({p}_{H}\left(t\right)\) | Proportion of infections requiring hospitalization | Estimated from data, proportions between daily incidence of cases and hospitalizations, age-stratified |
\({p}_{C}\left(t\right)\) | Proportion of hospitalizations requiring ICU | Estimated from hospitalization data reports, proportions between daily incidence of hospitalizations and ICU, age-stratified |
\({p}_{Z}\left(t\right)\) | Proportion of infections without hospitals resulting in death | Estimated for the data in the 2nd wave, in all other waves eq. to 0.0, age-stratified |
\({p}_{R}\left(t\right)\) | Proportion of recovered hospitalizations | Estimated from hospitalization data reports, proportions between daily incidence of hospitalizations and deaths, age-stratified |
\(\frac{1}{w{f}_{R}\left(t\right)}\) | Mean duration of waning immunity | (180–365) Days |
\({\lambda }_{V}\left(t\right)=\frac{1}{{f}_{IV}\left(t\right)}\cdot \lambda \left(t\right)\) | Force of infection in the vaccinated group | Force of infection in the vaccinated group is equal to force of infection in the unvaccinated group lowered by a certain factor fIV \({f}_{IV}\left(t\right)\) is in range (2–5), depends of SARS-CoV-2 variants |
\({p}_{MV}\left(t\right)=1-{p}_{HV}\left(t\right)-{p}_{ZV}\left(t\right)\) | Proportion of mild/asymptomatic infections in the vaccinated group | Computed from proportions \({p}_{HV}\left(t\right)\) in \({p}_{ZV}\left(t\right)\), age-stratified |
\({p}_{HV}\left(t\right)=\frac{1}{{f}_{HV}\left(t\right)}\cdot {p}_{H}\left(t\right)\) | Proportion of infections requiring hospitalization in the vaccinated group | Proportion of hospitalization in the vaccinated group is equal to proportion of hospitalization in the unvaccinated group lowered by a certain factor fHV \({f}_{HV}\left(t\right)\) is in range (5–10), depends of SARS-CoV-2 variants, age-stratified |
\({p}_{CV}\left(t\right)\) | Proportion of hospitalizations requiring ICU in the vaccinated group | \({p}_{CV}\left(t\right)\)= \({p}_{C}\left(t\right)\), age-stratified |
\({p}_{ZV}\left(t\right)\) | Proportion of infections without hospitalizations resulting in death in the vaccinated group | 0.0 (vaccination starts in Slovenia after the 2nd wave) |
\({1-p}_{RV}\left(t\right)=\frac{1}{{f}_{DV}\left(t\right)}\cdot \left(1-{p}_{R}\left(t\right)\right)\) | Proportion of hospitalizations resulting in death in the vaccinated group | Proportion of hospitalizations resulting in death in the vaccinated group is equal to the proportion of hospitalizations resulting in death in the unvaccinated group lowered by the factor fDV \({f}_{DV}\left(t\right)\) is in range (5–10), depends of SARS-CoV-2 variants, age-stratified |
\(\frac{1}{w{f}_{V}\left(t\right)}\) | Mean duration of waning immunity after vaccination | (180–365) days |
