Table 1 Parameters utilized in the model
From: Twice evasions of Omicron variants explain the temporal patterns in six Asian and Oceanic countries
Parameter | Â | Unit | Â |
|---|---|---|---|
\(N\) | Population of each country | Â | Â |
\(\beta\) | Time-varying transmission rate | Per year | \(\beta =\gamma {\mathcal{R}}_{0}\) |
\(v\) | Vaccination rate (second dose) | Per day | Translate from data (per capita) to per unvaccinated |
\(\psi\) | Rate of loss of immunity protection | Per year | 0.333 or 0.5 |
\(\varepsilon\) | Relative susceptibility of vaccinated vs. unvaccinated | Â | 0.1 |
\(b\) | Booster rate (third dose) | Per day | Translate from data (per capita) to per second dose susceptible |
\(\sigma\) | Rate of infectiousness onset after exposure | Per year | 365/2 |
\(\gamma\) | Rate of loss of infectiousness | Per year | 365/3 |
\(\phi\) | Infection Severity Case ratio and severity case mortality ratio | Â | [0.04,0.09] |
\(\kappa\) | Rate of removal from severity stage | Per year | 365/12 |
\(r\) | Severity Case mortality ratio | Â | \(r=1\) before time \({t}_{1}\), and \(r\) would linearly decrease from 1 to \(\alpha\) during a period of time \([{t}_{1},{t}_{1}+36 days]\) |
\({t}_{0},{t}_{1}, {t}_{2}\) | Start time of study period, Time of immune evasion, end time of study period | Â | \({t}_{0}\) is February 11, 2020, \({t}_{1}\) to be estimated and is around Jan 1, 2022, \({t}_{2}\) is June 6, 2022 |