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Dynamic analysis of a fractional-order delayed model for hepatitis B virus with CTL immune response.
Shi, Ruiqing; Lu, Ting; Wang, Cuihong.
Afiliação
  • Shi R; School of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, China. Electronic address: shirq1979@163.com.
  • Lu T; School of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, China. Electronic address: 1300757652@qq.com.
  • Wang C; School of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, China. Electronic address: sxwangcuihong@163.com.
Virus Res ; 277: 197841, 2020 02.
Article em En | MEDLINE | ID: mdl-31887328
In this paper, a fractional-order delayed model with Holling II functional response and CTL immune response is constructed to describe the transmission of hepatitis B virus. Firstly, the existence and uniqueness of positive solutions are proved. Secondly, the basic reproduction number and the sufficient conditions for the existence of three equilibriums are obtained. Thirdly, the stability of three equilibriums are investigated. In addition, some sufficient conditions for the occurrence of Hopf bifurcation near the endemic equilibrium are demonstrated by using time delay as the bifurcation parameter. After that, some numerical simulations are performed to verify the theoretical prediction. At last, a brief discussion is presented to end this paper.
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Texto completo: 1 Base de dados: MEDLINE Assunto principal: Linfócitos T Citotóxicos / Vírus da Hepatite B / Imunidade Celular / Modelos Teóricos Tipo de estudo: Prognostic_studies Limite: Humans Idioma: En Ano de publicação: 2020 Tipo de documento: Article

Texto completo: 1 Base de dados: MEDLINE Assunto principal: Linfócitos T Citotóxicos / Vírus da Hepatite B / Imunidade Celular / Modelos Teóricos Tipo de estudo: Prognostic_studies Limite: Humans Idioma: En Ano de publicação: 2020 Tipo de documento: Article