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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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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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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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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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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Global dynamics of a discrete viral infection model with time delay, virus-to-cell and cell-to-cell transmissions

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2017.1371144 ◽

2017 ◽

Vol 23 (11) ◽

pp. 1853-1868 ◽

Author(s):

Jinling Zhou ◽

Yu Yang

Keyword(s):

Viral Infection ◽

Infection Model ◽

Global Dynamics ◽

Viral Infection Model

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A stochastic viral infection model with general functional response

Nonlinear Analysis and Differential Equations ◽

10.12988/nade.2016.6642 ◽

2016 ◽

Vol 4 ◽

pp. 435-445 ◽

Author(s):

Marouane Mahrouf ◽

El Mehdi Lotfi ◽

Mehdi Maziane ◽

Khalid Hattaf ◽

Noura Yousfi

Keyword(s):

Viral Infection ◽

Functional Response ◽

Infection Model ◽

Viral Infection Model

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Threshold dynamics of a general delayed within-host viral infection model with humoral immunity and two modes of virus transmission

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020259 ◽

2017 ◽

Vol 22 (11) ◽

pp. 0-0

Author(s):

Zhikun She ◽

◽

Xin Jiang ◽

Keyword(s):

Viral Infection ◽

Humoral Immunity ◽

Virus Transmission ◽

Infection Model ◽

Threshold Dynamics ◽

Viral Infection Model

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Stability preserving NSFD scheme for a delayed viral infection model with cell-to-cell transmission and general nonlinear incidence

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2017.1304933 ◽

2017 ◽

Vol 23 (5) ◽

pp. 893-916 ◽

Author(s):

Jinhu Xu ◽

Yan Geng

Keyword(s):

Viral Infection ◽

Infection Model ◽

Nonlinear Incidence ◽

Cell Transmission ◽

Nsfd Scheme ◽

Viral Infection Model

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