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

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2017074 ◽

2017 ◽

Vol 22 (4) ◽

pp. 1547-1563 ◽

Author(s):

Alexander Rezounenko ◽

Keyword(s):

Immune Responses ◽

Viral Infection ◽

Infection Model ◽

State Dependent ◽

State Dependent Delay ◽

Viral Infection Model

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Continuous solutions to a viral infection model with general incidence rate, discrete state-dependent delay, CTL and antibody immune responses

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2016.1.79 ◽

2016 ◽

pp. 1-15 ◽

Author(s):

Alexander Rezounenko

Keyword(s):

Immune Responses ◽

Viral Infection ◽

Incidence Rate ◽

Infection Model ◽

Continuous Solutions ◽

Discrete State ◽

General Incidence Rate ◽

State Dependent ◽

State Dependent Delay ◽

Viral Infection Model

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Viral infection model with diffusion and state-dependent delay: Stability of classical solutions

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2018143 ◽

2018 ◽

Vol 23 (3) ◽

pp. 1091-1105 ◽

Author(s):

Alexander Rezounenko ◽

◽

Keyword(s):

Viral Infection ◽

Classical Solutions ◽

Infection Model ◽

State Dependent ◽

State Dependent Delay ◽

Viral Infection Model

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Existence of order-1 periodic solutions for a viral infection model with state-dependent impulsive control

Advances in Difference Equations ◽

10.1186/s13662-019-1967-x ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Huilan Wang ◽

Binxiang Dai ◽

Qizhen Xiao

Keyword(s):

Viral Infection ◽

Periodic Solutions ◽

Impulsive Control ◽

Infection Model ◽

State Dependent ◽

Viral Infection Model

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Analysis of stochastic viral infection model with lytic and nonlytic immune responses

Stochastic Analysis and Applications ◽

10.1080/07362994.2019.1702559 ◽

2019 ◽

Vol 38 (3) ◽

pp. 490-505 ◽

Author(s):

R. Rajaji ◽

M. Pitchaimani

Keyword(s):

Immune Responses ◽

Viral Infection ◽

Infection Model ◽

Viral Infection Model

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Stochastic viral infection model with lytic and nonlytic immune responses driven by Lévy noise

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2020.124367 ◽

2020 ◽

Vol 549 ◽

pp. 124367 ◽

Author(s):

Khadija Akdim ◽

Adil Ez-zetouni ◽

Jaouad Danane ◽

Karam Allali

Keyword(s):

Immune Responses ◽

Viral Infection ◽

Lévy Noise ◽

Infection Model ◽

Viral Infection Model

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Global Stability of a Nonlinear Viral Infection Model with Infinitely Distributed Intracellular Delays and CTL Immune Responses

SIAM Journal on Applied Mathematics ◽

10.1137/120896463 ◽

2013 ◽

Vol 73 (3) ◽

pp. 1280-1302 ◽

Author(s):

Hongying Shu ◽

Lin Wang ◽

James Watmough

Keyword(s):

Immune Responses ◽

Viral Infection ◽

Global Stability ◽

Infection Model ◽

Viral Infection Model ◽

Intracellular Delays

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Global stability in a viral infection model with lytic and nonlytic immune responses

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2005.07.020 ◽

2006 ◽

Vol 51 (9-10) ◽

pp. 1593-1610 ◽

Author(s):

Kaifa Wang ◽

Wendi Wang ◽

Xianning Liu

Keyword(s):

Immune Responses ◽

Viral Infection ◽

Global Stability ◽

Infection Model ◽

Viral Infection Model

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Constructing Lyapunov functionals for a delayed viral infection model with multitarget cells, nonlinear incidence rate, state-dependent removal rate

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.009.02.18 ◽

2016 ◽

Vol 09 (02) ◽

pp. 524-536 ◽

Author(s):

Jinliang Wang ◽

Jiying Lang ◽

Feng Li

Keyword(s):

Viral Infection ◽

Incidence Rate ◽

Removal Rate ◽

Infection Model ◽

Lyapunov Functionals ◽

Nonlinear Incidence Rate ◽

Nonlinear Incidence ◽

State Dependent ◽

Viral Infection Model

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Global attractivity of a time-delayed viral infection model with spatial heterogeneity

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107035 ◽

2021 ◽

Vol 116 ◽

pp. 107035

Author(s):

Yu Yang ◽

Tonghua Zhang ◽

Jinling Zhou

Keyword(s):

Viral Infection ◽

Spatial Heterogeneity ◽

Global Attractivity ◽

Infection Model ◽

Viral Infection Model

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Sleep and body temperature responses in an acute viral infection model are altered in interferon type I receptor-deficient mice

Brain Behavior and Immunity ◽

10.1016/j.bbi.2005.08.008 ◽

2006 ◽

Vol 20 (3) ◽

pp. 290-299 ◽

Author(s):

Tim R. Traynor ◽

Jeannine A. Majde ◽

Stewart G. Bohnet ◽

James M. Krueger

Keyword(s):

Body Temperature ◽

Viral Infection ◽

Infection Model ◽

Type I ◽

Acute Viral Infection ◽

Temperature Responses ◽

Viral Infection Model ◽

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