Stability and Hopf bifurcation of a delayed virus infection model with Beddington-DeAngelis infection function and cytotoxic T-lymphocyte immune response

Yu Yang

doi:10.1002/mma.3455

Stability and Hopf bifurcation of a delayed virus infection model with Beddington-DeAngelis infection function and cytotoxic T-lymphocyte immune response

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3455 ◽

2015 ◽

Vol 38 (18) ◽

pp. 5253-5263 ◽

Cited By ~ 2

Author(s):

Yu Yang

Keyword(s):

Immune Response ◽

Hopf Bifurcation ◽

Virus Infection ◽

T Lymphocyte ◽

Cytotoxic T Lymphocyte ◽

Infection Model ◽

Virus Infection Model

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Faculty Opinions recommendation of Dynamical analysis on a chronic hepatitis C virus infection model with immune response.

Faculty Opinions – Post-Publication Peer Review of the Biomedical Literature ◽

10.3410/f.725319344.793503432 ◽

2015 ◽

Author(s):

Philip Rosenthal

Keyword(s):

Immune Response ◽

Chronic Hepatitis ◽

Hepatitis C Virus ◽

Hepatitis C ◽

Virus Infection ◽

Dynamical Analysis ◽

Infection Model ◽

Hepatitis C Virus Infection ◽

Chronic Hepatitis C Virus ◽

Virus Infection Model

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Global stability and optimal control for a hepatitis B virus infection model with immune response and drug therapy

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-018-01226-x ◽

2018 ◽

Vol 60 (1-2) ◽

pp. 537-565 ◽

Cited By ~ 1

Author(s):

Pensiri Yosyingyong ◽

Ratchada Viriyapong

Keyword(s):

Optimal Control ◽

Immune Response ◽

Drug Therapy ◽

Hepatitis B Virus ◽

Virus Infection ◽

Hepatitis B ◽

Infection Model ◽

Hepatitis B Virus Infection ◽

B Virus ◽

Virus Infection Model

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Stability and Hopf bifurcation of a within-host chikungunya virus infection model with two delays

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2016.12.011 ◽

2017 ◽

Vol 138 ◽

pp. 31-48 ◽

Cited By ~ 20

Author(s):

Yan Wang ◽

Xianning Liu

Keyword(s):

Hopf Bifurcation ◽

Virus Infection ◽

Chikungunya Virus ◽

Infection Model ◽

Two Delays ◽

Virus Infection Model

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Analysis and control of a delayed HIV infection model with cell‐to‐cell transmission and cytotoxic T lymphocyte immune response

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7147 ◽

2021 ◽

Author(s):

Yu Liu ◽

Xiaolin Lin ◽

Jianquan Li

Keyword(s):

Immune Response ◽

Hiv Infection ◽

T Lymphocyte ◽

Cytotoxic T Lymphocyte ◽

Infection Model ◽

Cell Transmission ◽

Hiv Infection Model ◽

And Control

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A fractional numerical study on a chronic hepatitis C virus infection model with immune response

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2020.110062 ◽

2020 ◽

Vol 139 ◽

pp. 110062 ◽

Cited By ~ 5

Author(s):

Khaled M. Saad ◽

J.F. Gómez-Aguilar ◽

Abdulrhman A. Almadiy

Keyword(s):

Immune Response ◽

Chronic Hepatitis ◽

Hepatitis C Virus ◽

Hepatitis C ◽

Virus Infection ◽

Numerical Study ◽

Infection Model ◽

Hepatitis C Virus Infection ◽

Chronic Hepatitis C Virus ◽

Virus Infection Model

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Global stability of a diffusive and delayed virus infection model with general incidence function and adaptive immune response

Computational and Applied Mathematics ◽

10.1007/s40314-017-0543-9 ◽

2017 ◽

Vol 37 (3) ◽

pp. 3780-3805 ◽

Cited By ~ 9

Author(s):

Hui Miao ◽

Zhidong Teng ◽

Xamxinur Abdurahman ◽

Zhiming Li

Keyword(s):

Immune Response ◽

Virus Infection ◽

Global Stability ◽

Adaptive Immune Response ◽

Infection Model ◽

Adaptive Immune ◽

Incidence Function ◽

Virus Infection Model

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Dynamics of virus infection model with nonlytic immune response induced by stochastic noise

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2017.03.068 ◽

2017 ◽

Vol 99 ◽

pp. 124-132 ◽

Cited By ~ 4

Author(s):

Dongxi Li ◽

Xiaowei Cui

Keyword(s):

Immune Response ◽

Virus Infection ◽

Infection Model ◽

Stochastic Noise ◽

Virus Infection Model

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Stability and Hopf bifurcation for a five-dimensional virus infection model with Beddington–DeAngelis incidence and three delays

Journal of Biological Dynamics ◽

10.1080/17513758.2017.1408861 ◽

2017 ◽

Vol 12 (1) ◽

pp. 146-170 ◽

Cited By ~ 9

Author(s):

Hui Miao ◽

Zhidong Teng ◽

Xamxinur Abdurahman

Keyword(s):

Hopf Bifurcation ◽

Virus Infection ◽

Infection Model ◽

Three Delays ◽

Virus Infection Model

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The Computer Simulation and Stability of a Virus Infection Model with Nonlinear Immune Response

2011 Fourth International Conference on Information and Computing ◽

10.1109/icic.2011.127 ◽

2011 ◽

Author(s):

Nannan Cheng ◽

Yang Yang

Keyword(s):

Immune Response ◽

Computer Simulation ◽

Virus Infection ◽

Infection Model ◽

Virus Infection Model

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Stability and Hopf bifurcation for a virus infection model with delayed humoral immunity response

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.09.035 ◽

2014 ◽

Vol 411 (1) ◽

pp. 63-74 ◽

Cited By ~ 57

Author(s):

Tianlei Wang ◽

Zhixing Hu ◽

Fucheng Liao

Keyword(s):

Hopf Bifurcation ◽

Virus Infection ◽

Humoral Immunity ◽

Infection Model ◽

Immunity Response ◽

Virus Infection Model

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