Table 1 The biological parameters used in the model
Parameter | Explanation | (Caputo) | (Classical) | Source |
|---|---|---|---|---|
\(\beta _{1}\) | the rate at which individuals are exposed to symptomatic | 6.876e-04 | 1.079e-03 | fitted |
α | fractional-order | 6.757e-01 | 1 | fitted |
\(\rho _{1}\) | asymptomatic infection rate | 0.002 | 0.02 | fixed |
\(\beta _{2}\) | the rate at which individuals are infected to asymptomatic | 0.005 | 0.01 | fixed |
\(\rho _{2}\) | symptomatic infection rate | 0.005 | 0.005 | fixed |
Îł | the removal rate | 1/9 | 1/12 | fixed |
ζ | the rate at which a vaccinated (not immune) | 0.02 | 0.5 | fixed |
η | the transmission rate at which asymptomatic individual comes into contact and infects vaccinated (but still not immune) individuals | 0.05 | 0.05 | fixed |
δ | the first shot vaccination rate | 0.01 | 0.01 | fixed |
λ | the vaccine efficacy | 0.05 | 0.002 | fixed |
ϵ | immunity and moving to the removed compartment | 0.02 | 0.02 | fixed |