Table 1: Parameter values used in numerical simulations.

Notation Parameter descriptionRangeSource

Natural death rate equally birth rate [4]
The failure immunization0-1[23]
The rate at which the latent individuals become infectious [3]
The rate at which the individuals move to the carrier class [3]
The rate of flow from carrier to the vaccinated class Assumed
The transmission coefficient [24]
The proportion of individuals become carrier [23]
Represent the loss of immunity0.06–0.03[13]
Represent the vaccination of susceptible Assumed
The rate of flow from Migrated class to exposed class Assumed
The rate of flow from Migrated class to acute class Assumed
Unimmunized children born to carrier mothers [13]
The infectiousness of carriers related to acute infection0-1[10]