Equations

$$\begin{align*} \beta &= R_0 \cdot \gamma \\ \frac{{d\class{varS}{S}}}{dt} &= - \beta \class{varI}{I} \cdot \left(\frac{\class{varS}{S}}{N}\right)^\eta + \sigma \class{varR}{R} \\ \frac{d\class{varE}{E}}{dt} &= \beta \class{varI}{I} \cdot \left(\frac{\class{varS}{S}}{N}\right)^\eta - \alpha \class{varE}{E} \\ \frac{d\class{varI}{I}}{dt} &= \alpha \class{varE}{E} - \gamma \class{varI}{I} \\ \frac{d\class{varR}{R}}{dt} &= \gamma \class{varI}{I} - \sigma \class{varR}{R} \\ \end{align*}$$

Parameters

R₀: Latent period \(\left(\frac{1}{\alpha}\right)\): Infectious period \(\left(\frac{1}{\gamma}\right)\): Duration of resistance \(\left(\frac{1}{\sigma}\right)\): Mixing exponent \(\left(\eta\right)\): Initial susceptibility \(\left(S(t=0)\right)\): Days: Upper bound for Y axis: %