Vol. 13, No. 3, 2020

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Qualitative investigation of cytolytic and noncytolytic immune response in an HBV model

John G. Alford and Stephen A. McCoy

Vol. 13 (2020), No. 3, 455–474
Abstract

We investigate a mathematical model of infection by the hepatitis B virus (HBV) that includes cytolytic and noncytolytic immune response. The model exhibits a variety of steady-state solutions depending on parameter values, including nonunique and unique equilibrium solutions and periodic behavior. The disease-free equilibrium ${E}_{\phantom{\rule{-0.17em}{0ex}}f}$ and the positive-disease equilibrium ${E}_{d}$ are examined. The basic reproduction ratio ${R}_{0}$ is computed in order to examine the uniqueness and local asymptotic stability of equilibria and to understand the model’s biological implications for HBV dynamics.

Keywords
mathematical model, hepatitis B viral dynamics, immune response
Primary: 92C60