| Description | Range | Value | Source |
---|---|---|---|---|
\(\beta\) | The effective contact rate between users and susceptibles | 0.10–0.21 | \(0.105\, \mathrm{year}^{-1}\) | [15] |
\(\eta\) | The relative ability for outpatients to initiate new users | 0–0.0099 | \(0.009612\, \mathrm{year}^{-1}\) | Estimated |
p | Proportion of users recruited into inpatient rehab | 0–1 | \(0.352~\mathrm{year}^{-1}\) | Estimated |
\(\varepsilon\) | The effectiveness of rehab | 0–1 | \(0.6080\, \mathrm{year}^{-1}\) | Estimated |
\(\sigma\) | The rate at which users are recruited into rehab | 0–0.05024 | \(0.02827\, \mathrm{year}^{-1}\) | Estimated |
\(\delta _0\) | The rate of quitting abuse for outpatients | 0.001–1 | \(0.01\, \mathrm{year}^{-1}\) | Estimated |
\(\delta _1\) | The rate of quitting abuse for inpatients | 0.01–1 | \(0.3142~\mathrm{year}^{-1}\) | Estimated |
\(\rho _1\) | Relapse rate for outpatients | 0–0.054 | \(0.0382\, \mathrm{year}^{-1}\) | Estimated |
\(\rho _2\) | Relapse rate for inpatients | 0–0.0235 | \(0.0020\, \mathrm{year}^{-1}\) | Estimated |
\(\gamma _1\) | Transfer rate from outpatient rehab to inpatient rehab | 0–0.06012 | \(0.02961\, \mathrm{year}^{-1}\) | Estimated |
\(\gamma _2\) | Transfer rate from inpatient rehab to outpatient rehab | 0–0.008 | \(0.003\, \mathrm{year}^{-1}\) | Estimated |
\(\Pi\) | Recruitment rate into the susceptible population | 0.028–0.080 | \(0.04\, \mathrm{year}^{-1}\) | [15] |
\(\mu\) | Natural death rate | 0.019–0.021 | \(0.020\, \mathrm{year}^{-1}\) | [41] |