On mathematical analysis of the impact of bilinear therapeutic controls with monolytic vaccination for HBV infection model

While in acknowledgment of varying existing novel results on control of hepatitis B virus (HBV) dynamic infection, the methodological implementation of bilinear control functions in the presence of designated vaccination has not been explicitly considered. Therefore, the present investigation extending an existing study formulated and redeveloped a 6-dimensional HBV mathematical model that seeks and investigates the mathematical and epidemiological composition of the derived model as well as the methodological behavioral impact of applied bilinear therapeutic control functions and monolytic vaccination. The components of analytic predictions explored differential theory in conjunction with the classical Cauchy-Lipschitz condition. Numerical simulations were conducted using the in-built Runge-Kutta in a Mathcad surface. Results obtained indicated early decline of HBV viral load with intense rejuvenation of the recovered and susceptible state-space, following coherent induced bilinear control functions with designated vaccines. The study is highly recommended for HBV-related cases of co-infectivity.