bibtype J - Journal Article
ARLID 0476128
utime 20240103214243.0
mtime 20170713235959.9
SCOPUS 85016016182
WOS 000395946700016
DOI 10.3934/dcdsb.2017074
title (primary) (eng) Stability of a viral infection model with state-dependent delay, CTL and antibody immune responses
specification
page_count 17 s.
media_type P
serial
ARLID cav_un_epca*0257845
ISSN 1531-3492
title Discrete and Continuous Dynamical Systems-Series B
volume_id 22
volume 4 (2017)
page_num 1547-1563
publisher
name AIMS Press
keyword Evolution equations
keyword Lyapunov stability
keyword state-dependent delay
keyword virus infection model
author (primary)
ARLID cav_un_auth*0282033
full_dept (cz) Adaptivní systémy
full_dept (eng) Department of Adaptive Systems
department (cz) AS
department (eng) AS
full_dept Department of Adaptive Systems
share 100
name1 Rezunenko
name2 Oleksandr
institution UTIA-B
country UA
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url http://library.utia.cas.cz/separaty/2017/AS/rezunenko-0476128.pdf
cas_special
project
ARLID cav_un_auth*0335261
project_id GA16-06678S
agency GA ČR
country CZ
abstract (eng) 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.
RIV BC
FORD0 10000
FORD1 10200
FORD2 10201
reportyear 2018
num_of_auth 1
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0273531
cooperation
ARLID cav_un_auth*0347621
name Kharkiv National University
country UA
confidential S
mrcbC86 1 Article Mathematics Applied
mrcbC86 2 Article Mathematics Applied
mrcbC86 2 Article Mathematics Applied
mrcbT16-e MATHEMATICSAPPLIED
mrcbT16-j 0.611
mrcbT16-s 0.864
mrcbT16-B 40.526
mrcbT16-D Q3
mrcbT16-E Q2
arlyear 2017
mrcbU14 85016016182 SCOPUS
mrcbU24 PUBMED
mrcbU34 000395946700016 WOS
mrcbU63 cav_un_epca*0257845 Discrete and Continuous Dynamical Systems-Series B 1531-3492 1553-524X Roč. 22 č. 4 2017 1547 1563 AIMS Press