Viral dynamics and control of hepatitis B virus (HBV) using an epidemic model

Abstract

In this research article, the authors intend to develop and analyze an epidemic model that describes the progression of acute and chronic HBV in a population. The threshold number R0 was obtained using the well-known next-generation matrix approach. The stability of disease-free and disease present states of the proposed model is investigated using the basic reproduction number. Results found during dynamical analysis show that the model exhibits backward bifurcation. To control the spread of infection; vaccination and treatment were introduced as control variables in the model. The key strategy is to decrease the number of acute and chronic infected people with the lowest possible cost. To support the theoretical results, sample simulations were presented at the end of the work.