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      Dynamic Analysis of a Fractional-Order Model for Hepatitis B Virus with Holling II Functional Response

      Author(s): 1 , 1 , 1
      Publication date Created:
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      Journal: Complexity
      Publisher: Hindawi Limited

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          Abstract

          In this paper, a fractional-order model is constructed to describe the transmission of Hepatitis B Virus (HBV). Firstly, the existence and uniqueness of positive solutions are proved. Secondly, the basic reproduction number and the sufficient conditions for the existence of two equilibriums are obtained. Thirdly, the stability of equilibriums are analyzed. After that, some numerical simulations are performed to verify the theoretical prediction. Finally, a brief discussion is presented.

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          Population dynamics of immune responses to persistent viruses.

          M. A. Nowak, C R Bangham (1996)
          Mathematical models, which are based on a firm understanding of biological interactions, can provide nonintuitive insights into the dynamics of host responses to infectious agents and can suggest new avenues for experimentation. Here, a simple mathematical approach is developed to explore the relation between antiviral immune responses, virus load, and virus diversity. The model results are compared to data on cytotoxic T cell responses and viral diversity in infections with the human T cell leukemia virus (HTLV-1) and the human immunodeficiency virus (HIV-1).
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            Generalized Taylor’s formula

            Nabil T. Shawagfeh, Zaid Odibat (2007)
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              Hepatitis C Viral Dynamics in Vivo and the Antiviral Efficacy of Interferon- Therapy

              A Neumann (1998)
              Article 0 comments Cited 105 times – based on 0 reviews     Review now
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                Author and article information

                Journal
                Title: Complexity
                Abbreviated Title: Complexity
                Publisher: Hindawi Limited
                ISSN (Print): 1076-2787
                ISSN (Electronic): 1099-0526
                Publication date Created: August 06 2019
                Publication date (Print): August 06 2019
                Volume: 2019
                Pages: 1-13
                Affiliations
                [1 ]School of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, China
                Article
                DOI: 10.1155/2019/1097201
                SO-VID: e0ac90b3-8db9-475b-85cf-c3f2b0c88a14
                Copyright © © 2019
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                http://creativecommons.org/licenses/by/4.0/

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