0476128 20240103214243.020170713235959.9 85016016182 000395946700016 10.3934/dcdsb.2017074 17 s. P cav_un_epca*02578451531-3492224 (2017)1547-1563AIMS Press Evolution equations Lyapunov stability state-dependent delay virus infection model cav_un_auth*0282033 Adaptivní systémy Department of Adaptive Systems AS AS Department of Adaptive Systems 100 Rezunenko Oleksandr UTIA-B UA Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2017/AS/rezunenko-0476128.pdf cav_un_auth*0335261 GA16-06678S GA ČR CZ 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. BC 10000 10200 10201 2018 1 RVO:67985556 http://hdl.handle.net/11104/0273531 cav_un_auth*0347621 Kharkiv National University UA S 1 Article Mathematics Applied 2 Article Mathematics Applied 2 Article Mathematics Applied MATHEMATICS.APPLIED 1.164 0.28 5.3 0.00676 0.611 1820 0.864 0.884 193 Q2 40.526 50.6 Q3 Q2 0.83 Q2 50.595 2017 85016016182 SCOPUS PUBMED 000395946700016 WOS cav_un_epca*0257845 Discrete and Continuous Dynamical Systems-Series B 1531-3492 1553-524X Roč. 22 č. 4 2017 1547 1563 AIMS Press