Table 4.

Basic reproduction number $R_0$ and disease free equilibrium points ${\mathrm{\Pi }}_1$, for parameters describe in Table 1, for $\mathit{mm}=0.2,sd=0.3,ch=0.35$ and $\mathit{sc}=0.65$, at different values of $\alpha$and $t\in \left[0,30\right]$.

$\alpha$	$R_0$	$S\left(t\right)$	$E\left(t\right)$	$Q\left(t\right)$	$I\left(t\right)$	$M\left(t\right)$	$R\left(t\right)$	$P\left(t\right)$
0.4	0.297661	94566.7	0	0	0	0	0	97904.3
0.5	0.324551	94,900	0	0	0	0	0	111,349
0.6	0.354992	95233.3	0	0	0	0	0	128,931
0.7	0.389628	95566.7	0	0	0	0	0	152,907
0.8	0.429253	95,900	0	0	0	0	0	187,538
0.9	0.474857	96233.3	0	0	0	0	0	241,958
1.	0.527691	96566.7	0	0	0	0	0	339,915