Table 1 Parameters and parameter values used in the proposed fractional order model
From: Fractional order differential equations for chronic liver cirrhosis with frequent hospitalization
Parameter | Description | Value |
|---|---|---|
b | Birth rate | 0.0400 |
\(d_{0}\) | Natural death rate | 0.0100 |
\(d_{1}\) | Compensated cirrhotic-related death rate | 0.0020 |
\(\sigma\) | Hospitalization rate of acute infection | 0.0100 |
\(\beta\) | Transmission rate | 0.0420 |
\(d_{2}\) | Decompensated cirrhotic related death rate | 0.0020 |
\(\gamma _{1}\) | Reduction rate of compensated cirrhosis | 0.0020 |
\(\vartheta _{1}\) | Decompensation rate of hospitalized population | 0.1000 |
\(\vartheta _{2}\) | Hospitalization rate of decompensated cirrhosis | 0.0100 |
\(\gamma _{2}\) | Reduction rate of decompensated cirrhosis | 0.0020 |
\(\mu\) | Recover rate of decompensated cirrhosis | 0.0010 |
\(\delta\) | Recover rate of hospitalization individuals | 0.0200 |
\(d_{3}\) | Hospitalized-related death rate | 0.0010 |
\(s_{1}\) | Recover rate of compensated cirrhosis | 0.1000 |
\(s_{2}\) | Decompensation rate | 0.2000 |
\(s_{3}\) | Hospitalization rate of compensated cirrhosis | 0.0200 |
\(\eta _{1}\) | Rrogression rate of compensated cirrhosis | 0.0200 |
\(\eta _{2}\) | Spontaneous recovery rate | 0.1500 |