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

0476128 - ÚTIA 2018 RIV CH eng J - Journal Article
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. E-ISSN 1553-524X
R&D Projects: GA ČR(CZ) GA16-06678S
Institutional support: RVO:67985556
Keywords : Evolution equations * Lyapunov stability * state-dependent delay * virus infection model
OECD category: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Impact factor: 0.972, year: 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.
Permanent Link: http://hdl.handle.net/11104/0273531