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 Ef and the positive-disease equilibrium Ed are examined. The basic reproduction ratio R0 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
Mathematical Subject Classification 2010
Primary: 92C60
Milestones
Received: 26 October 2019
Revised: 12 March 2020
Accepted: 14 March 2020
Published: 14 July 2020

Communicated by Martin J. Bohner
Authors
John G. Alford
Department of Mathematics and Statistics
Sam Houston State University
Huntsville, TX
United States
Stephen A. McCoy
Department of Mathematics
University of Tennessee
Knoxville, TN
United States