Global stability of one and two discrete delay models for chronic hepatitis B infection with HBV DNA-containing capsids

This paper discusses the global dynamics of a model for chronic hepatitis B virus infection by incorporating delay(s) in the model. Two models, one with a one delay and the other with two delays, are analyzed for global properties in terms of the basic reproduction number. By constructing the approp...

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Bibliographic Details
Published in:Computational & applied mathematics 2017-03, Vol.36 (1), p.525-536
Main Authors: Manna, Kalyan, Chakrabarty, Siddhartha P.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied physics
Computational mathematics
Computational Mathematics and Numerical Analysis
Computer simulation
Delay
Deoxyribonucleic acid
DNA
Hepatitis
Hepatitis B
Interferon
Liapunov functions
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematical models
Mathematics
Mathematics and Statistics
Viruses
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Summary:This paper discusses the global dynamics of a model for chronic hepatitis B virus infection by incorporating delay(s) in the model. Two models, one with a one delay and the other with two delays, are analyzed for global properties in terms of the basic reproduction number. By constructing the appropriate Lyapunov functions, it is shown that the uninfected (infected) steady state is globally asymptotically stable when the basic reproduction number is less than or equal to (more than) one for both the one-delay and two-delay models. Finally, illustrative numerical simulations are presented.
ISSN:0101-8205
2238-3603
1807-0302
DOI:10.1007/s40314-015-0242-3