Table 1.

Differential equations for the compartmental base SEIR model.

$\frac{\mathit{dS}\left(t\right)}{\mathit{dt}}=-\beta \frac{S\left(t\right)I\left(t\right)}{N}+\propto P\left(t\right)$	$\frac{\mathit{dE}\left(t\right)}{\mathit{dt}}=\beta \frac{S\left(t\right)I\left(t\right)}{N}-\mathit{\gamma E}\left(t\right)$
$\frac{\mathit{dI}\left(t\right)}{\mathit{dt}}=\mathit{\gamma E}\left(t\right)-\delta \left(t\right)I\left(t\right)$	$\frac{\mathit{dQ}\left(t\right)}{\mathit{dt}}=\delta \left(t\right)I\left(t\right)-\lambda \left(t\right)Q\left(t\right)-\kappa \left(t\right)Q\left(t\right)$
$\frac{\mathit{dR}\left(t\right)}{\mathit{dt}}=\lambda \left(t\right)Q\left(t\right)$	$\frac{\mathit{dD}\left(t\right)}{\mathit{dt}}=\kappa \left(t\right)Q\left(t\right)$
$\frac{\mathit{dP}\left(t\right)}{\mathit{dt}}=-\propto P\left(t\right)$	δ(t) = δ1(1 − e−δ2×t)
λ(t) = λ1(1 − e−λ2×t)	κ(t) = κ1e−κ2×t
Where, S + E + I + Q + R + D = N
N = Total population	δ(t) = Rate of detection leading to quarantine
∝ = Rate of being susceptible	λ(t) = Rate of recovery
β = Rate of exposure	κ(t) = Rate of mortality
γ = Rate of being infected after exposure	δ1, δ2, λ1, λ2, κ1, κ2 = Constants