Analysis of a New Delayed HBV Model with Exposed State and Immune Response to Infected Cells and Viruses
Joint Authors
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-16
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We propose a comprehensive delayed HBV model, which not only considers the immune response to both infected cells and viruses and a time delay for the immune system to clear viruses but also incorporates an exposed state and the proliferation of hepatocytes.
We prove the positivity and boundedness of solutions and analyze the global stability of two boundary equilibria and then study the local asymptotic stability and Hopf bifurcation of the positive (infection) equilibrium and also the stability of the bifurcating periodic solutions.
Moreover, we illustrate how the factors such as the time delay, the immune response to infected cells and viruses, and the proliferation of hepatocytes affect the dynamics of the model by numerical simulation.
American Psychological Association (APA)
Sun, Deshun& Liu, Fei. 2017. Analysis of a New Delayed HBV Model with Exposed State and Immune Response to Infected Cells and Viruses. BioMed Research International،Vol. 2017, no. 2017, pp.1-19.
https://search.emarefa.net/detail/BIM-1138715
Modern Language Association (MLA)
Sun, Deshun& Liu, Fei. Analysis of a New Delayed HBV Model with Exposed State and Immune Response to Infected Cells and Viruses. BioMed Research International No. 2017 (2017), pp.1-19.
https://search.emarefa.net/detail/BIM-1138715
American Medical Association (AMA)
Sun, Deshun& Liu, Fei. Analysis of a New Delayed HBV Model with Exposed State and Immune Response to Infected Cells and Viruses. BioMed Research International. 2017. Vol. 2017, no. 2017, pp.1-19.
https://search.emarefa.net/detail/BIM-1138715
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1138715