Table 1 Parameter definitions, values and source of model ( 2.2 )

Λ

Recruitment rate of the population \((year^{-1})\)

16

[21]

β

Probability of transmission per contact \((year^{-1})\)

0.002∼0.008

[21]

k

The parameter measuring the psychological or inhibitory effect

0.01

[21]

d

Nature death rate of the population \((year^{-1})\)

0.1

[21]

γ

Natural recovery rate of the infective individuals \((year^{-1})\)

0.01

[21]

α

The maximal medical resources supplied per unite time

6

[21]

ω

The half-saturation constant

Assumption

-

RL, \(\mathit{RL}'\)

The number of infectives such that control actions must be taken in order to avoid economic and social damages

Assumption

-

\(p_{\max}\)

The maximal vaccination proportion

[0,1)

[21, 23]

θ

The half-saturation constant

Assumption

-