Dynamics of a hepatitis B viral infection model with logistic hepatocyte growth and cytotoxic T-lymphocyte response

Abstract

Abstract In this paper, we present and study the mathematical model of HBV dynamics with logistic hepatocyte growth and cytotoxic T-lymphocyte (CTL) response. The positivity and boundedness of solutions for nonnegative initial data are proved. The stability of disease-free equilibrium and endemic equilibrium are analyzed. Numerical simulations are performed and oscillatory convergence is observed.