Table 1.

These are the transitions with transition rates for the microsimulation model.

Transition	Movement	Rate of Transition
$E_1=$ birth	$X_S\to X_S+1$	$R_1=bN$
$E_2=$ death in S	$X_S\to X_S-1$	$R_2=\mu X_S$
$E_3=$ death in $I_1$	$X_{I_1}\to X_{I_1}-1$	$R_3=\mu X_{I_1}$
$E_4=$ death in R	$X_R\to X_R-1$	$R_4=\mu X_R$
$E_5=$ death in P	$X_P\to X_P-1$	$R_5=\mu X_P$
$E_6=$ death in $I_r$	$X_{I_r}\to X_{I_r}-1$	$R_6=\mu X_{I_r}$
$E_7=$ first infection	$X_S\to X_S-1$, $X_{I_1}\to X_{I_1}+1$	$R_7=\beta \frac{X_S}{N}\left(X_{I_1}+\kappa X_{I_r}\right)$
$E_8=$ first infected recovery	$X_{I_1}\to X_{I_1}-1$, $X_R\to X_R+1$	$R_8=\gamma X_{I_1}$
$E_9=$ wane	$X_R\to X_R-1$, $X_P\to X_P+1$	$R_9=\omega X_R$
$E_{10}=$ reinfection	$X_P\to X_P-1$, $X_{I_r}\to X_{I_r}+1$	$R_{10}=\kappa \beta \frac{X_P}{N}\left(X_{I_1}+\kappa X_{I_r}\right)$
$E_{11}=$ reinfected recovery	$X_{I_r}\to X_{I_r}-1$, $X_R\to X_R+1$	$R_{11}=\frac{\gamma }{\kappa }{X}_{I_r}$