Mathematical analysis of hepatitis B epidemic model with optimal control

Abstract Infection of hepatitis B virus (HBV) is a global health problem. We provide the study about dynamics that can be controlled by education campaign (awareness), vaccination, and treatment. Initially we bring constant controls in considerations for treatment, (awareness). In case controls, stability existence disease-free endemic equilibria model’s solutions. Afterwards, take time as control formulate suitable optimal problem, acquire strategy order to reduce number humans are infected costs associated. At end, results numerical simulations show combination vaccination most efficient way infection infection.