Dynamics of a discrete hepatitis B virus model

Abstract

Mathematical models are used to study the epidemic diseases to understand the dynamics of disease spreading. In biomathematics, mathematical modeling is considered as a powerful tool to help in interpreting the experimental results of biological phenomena involved in the spreading of disease in more precise way. By using these models, one can estimates the nature of the spread of Hepatitis B virus. So in this paper, we study dynamical properties of a discrete Hepatitis B virus (HBV) model. More precisely, local dynamical properties at equilibrium states are examined by basic reproduction number. Furthermore, we also studied rate of convergence, local and global dynamics at equilibrium states of a discrete HBV model. Finally, theoretical results are confirmed numerically.