Table 1.

Biological significance and parametric values for the crisp model (1)

Parameters	Biological significance	Values and units	Data source
$\mathrm{\Pi }$	Inflow rate	20 $\frac{1}{\mathrm{day}}$	Assumed
$\lambda$	Disease transmission rate of susceptible population	0.0002 $\frac{1}{\mathrm{day}}$	Kassa and Ouhinou (2015)
$d$	Natural mortality rate	0.00004 $\frac{1}{\mathrm{day}}$	Liu et al. (2008)
$q_0$	Vaccination rate	0.001 $\frac{1}{\mathrm{day}}$	Assumed
$v_1$	Control parameter	0.001	Lenhart and Workman (2007)
${\theta }_1$	Saturation constant for information	0.01	Zhang and Liu (2008)
${\gamma }_0$	Loss of the protection rate	0.001 $\frac{1}{\mathrm{day}}$	Assumed
$\psi$	Vaccine working efficiency rate	0.95 $\frac{1}{\mathrm{day}}$	Assumed
$\beta$	Vaccine related immunity rate	0.093 $\frac{1}{\mathrm{day}}$	Gumel and Ruan (2004)
$\gamma$	Recovery rate of infective	0.03 $\frac{1}{\mathrm{day}}$	Gumel and Ruan (2004)
$\delta$	Disease induced death rate	0.04 $\frac{1}{\mathrm{day}}$	Gumel and Ruan (2004)
$v_2$	Control parameter	0.001	Lenhart and Workman (2007)
$b$	Rate of effectiveness due to treatment	0.75 $\frac{1}{\mathrm{day}}$	Assumed
$g$	Growth rate for information	0.05 $\frac{1}{\mathrm{day}}$	Misra et al. (2011)
$a$	Natural recovery rate	0.001 $\frac{1}{\mathrm{day}}$	Assumed
$p_0$	Degradation rate for information	0.05 $\frac{1}{\mathrm{day}}$	Misra et al. (2011)