Mathematical modeling of transmission dynamics and optimal control of isolation, vaccination and treatment for hepatitis B virus

الملخص EN

In this paper we formulate an SEICR (Susceptible- Exposed- Infective- Carrier- Recovered) model of Hepatitis B Virus (HBV) disease transmission with constant recruitment.

The threshold parameter R0 <1, known as the Basic Reproduction Number was found.

This model has two equilibria, disease-free equilibrium and endemic equilibrium.

The Sensitivity analysis of the model was done, three time-varying control variables are considered and a control strategy for the minimization of infected individuals with latent, infectious and chronic HBV was developed.