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Stability of a viral infection model with state-dependent delay, CTL and antibody immune responses
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SYSNO ASEP 0476128 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Stability of a viral infection model with state-dependent delay, CTL and antibody immune responses Author(s) Rezunenko, Oleksandr (UTIA-B) RID Number of authors 1 Source Title Discrete and Continuous Dynamical Systems-Series B. - : AIMS Press - ISSN 1531-3492
Roč. 22, č. 4 (2017), s. 1547-1563Number of pages 17 s. Publication form Print - P Language eng - English Country CH - Switzerland Keywords Evolution equations ; Lyapunov stability ; state-dependent delay ; virus infection model Subject RIV BC - Control Systems Theory OECD category Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8) R&D Projects GA16-06678S GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000395946700016 EID SCOPUS 85016016182 DOI 10.3934/dcdsb.2017074 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2018
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