Počet záznamů: 1  

Stability of a viral infection model with state-dependent delay, CTL and antibody immune responses

  1. 1. 0476128 - UTIA-B 2018 RIV CH eng J - Článek v odborném periodiku
    Rezunenko, Oleksandr
    Stability of a viral infection model with state-dependent delay, CTL and antibody immune responses.
    Discrete and Continuous Dynamical Systems-Series B. Roč. 22, č. 4 (2017), s. 1547-1563 ISSN 1531-3492
    Grant CEP: GA ČR(CZ) GA16-06678S
    Institucionální podpora: RVO:67985556
    Klíčová slova: Evolution equations * Lyapunov stability * state-dependent delay * virus infection model
    Kód oboru RIV: BC - Teorie a systémy řízení
    Obor OECD: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
    Impakt faktor: 0.972, rok: 2017
    http://library.utia.cas.cz/separaty/2017/AS/rezunenko-0476128.pdf

    A virus dynamics model with intracellular state-dependent delay and nonlinear infection rate of Beddington-DeAngelis functional response is studied. The technique of Lyapunov functionals is used to analyze stability of the main interior infection equilibrium which describes the case of both CTL and antibody immune responses activated. We consider rst a particular biologically motivated class of discrete state-dependent delays. The general case is investigated next. The stability of the infection-free and the immune-exhausted equilibria is also discussed.
    Trvalý link: http://hdl.handle.net/11104/0273531