Table 4.

Comparison of the infection and the costs for the optimal control vaccine formulation starting from $\left(N_1\left(0\right),I_1\left(0\right),V_1\left(0\right),N_2\left(0\right),I_2\left(0\right),V_2\left(0\right)\right)=P_4=\left(281.87,83.23,\mathrm{0,2.28},2.25,0\right)$ after $T=365$ days.

Cases	$N_1$	$I_1$	$V_1$	$N_2$	$I_2$	$V_2$
no treatment	281.87	83.23	–	2.28	2.25	–
$u_1=0.2,u_2=0$	333.51	0.00	284.51	2.70	1.00	–
$u_1=0,u_2=0.2$	277.24	81.79	–	2.36	1.34	0.99
$u_1=u_2=0.2$	327.99	0.00	279.76	2.78	0.04	2.69
model	${\mathrm{\Psi }}_u$	${\mathrm{\Psi }}_I$	$\mathrm{\Psi }$
no treatment	–	467.97	467.97
$u_1=0.2,u_2=0$	7.30	229.11	236.41
$u_1=0,u_2=0.2$	7.30	375.67	382.97
$u_1=u_2=0.2$	14.6	116.44	131.04