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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
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Abstract |
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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 and the positive-disease equilibrium are examined. The basic reproduction ratio 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. |
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Keywords
mathematical model, hepatitis B viral dynamics, immune
response
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Mathematical Subject Classification 2010
Primary: 92C60
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Milestones
Received: 26 October 2019
Revised: 12 March 2020
Accepted: 14 March 2020
Published: 14 July 2020
Communicated by Martin J. Bohner
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Authors |
| John G. Alford | |
| Department of Mathematics and
Statistics Sam Houston State University Huntsville, TX United States |
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| Stephen A. McCoy | |
| Department of Mathematics University of Tennessee Knoxville, TN United States |
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