Transmission Model of Hepatitis B Virus with the Migration Effect

Table 1

Parameter values used in numerical simulations.

Notation	Parameter description	Range	Source
𝛿	Natural death rate equally birth rate	0.0143	[4]
𝜋	The failure immunization	0-1	[23]
𝛾1	The rate at which the latent individuals become infectious	6	[3]
𝛾2	The rate at which the individuals move to the carrier class	4	[3]
𝛾3	The rate of flow from carrier to the vaccinated class	0.34	Assumed
𝛽	The transmission coefficient	0.8	[24]
𝑞	The proportion of individuals become carrier	0.005	[23]
𝛿𝑜	Represent the loss of immunity	0.06–0.03	[13]
𝑝	Represent the vaccination of susceptible	0.3	Assumed
𝜇1	The rate of flow from Migrated class to exposed class	0.23	Assumed
𝜇2	The rate of flow from Migrated class to acute class	0.56	Assumed
𝜂	Unimmunized children born to carrier mothers	0.7	[13]
𝜅	The infectiousness of carriers related to acute infection	0-1	[10]