Hajar Besbassi ; Zineb Elrhoubari ; Khalid Hattaf ; Yousfi Noura - Dynamics of an HBV infection model with cell-to-cell transmission and CTL immune response

arima:4329 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, June 8, 2019, Volume 30 - 2019 - MADEV health and energy (2017) - https://doi.org/10.46298/arima.4329
Dynamics of an HBV infection model with cell-to-cell transmission and CTL immune response

Authors: Hajar Besbassi ORCID-iD; Zineb Elrhoubari ; Khalid Hattaf ; Yousfi Noura

    In this work, we propose a mathematical model to describe the dynamics of the hepatitis B virus (HBV) infection by taking into account the cure of infected cells, the export of precursor cytotoxic T lympho-cytes (CTL) cells from the thymus and both modes of transmission that are the virus-to-cell infection and the cell-to-cell transmission. The local stability of the disease-free equilibrium and the chronic infection equilibrium is obtained via characteristic equations. Furthermore, the global stability of both equilibria is established by using two techniques, the direct Lyapunov method for the disease-free equilibrium and the geometrical approach for the chronic infection equilibrium.

    https://doi.org/10.46298/arima.4329
    Source : oai:HAL:hal-01719109v2
    Volume: Volume 30 - 2019 - MADEV health and energy (2017)
    Published on: June 8, 2019
    Accepted on: May 8, 2019
    Submitted on: February 28, 2018
    Keywords: global stability,nonlinear incidence,immune response,HBV infection,immunity,stability,cell-to-cell transmission,[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]

    Export

    BibTeX TEI DC OpenAIRE Crossref DOAJ zbJATS JSON

    Share

    Consultation statistics

    This page has been seen 336 times.
    This article's PDF has been downloaded 355 times.