Abstract
In this paper, we study local dynamics at equilibrium states, examine the basic reproduction number and bifurcation sets, chaos, convergence rate, and bifurcation analysis at equilibrium states of a four-dimensional discrete Hepatitis B virus model. More precisely, we first given the mathematical formulation of a four-dimensional discrete HBV model and then local dynamical properties at equilibrium states are examined by basic reproduction number. Furthermore, at equilibrium states, we have identified the bifurcation sets, and then we have studied the bifurcation analysis at equilibrium states of discrete HBV model by bifurcation theory. We have studied chaos and convergence rate for understudied HBV model. Finally, our theoretical outcomes are confirmed numerically.