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 ◽

Author(s):

Tianlei Wang ◽

Zhixing Hu ◽

Fucheng Liao

Keyword(s):

Hopf Bifurcation ◽

Virus Infection ◽

Humoral Immunity ◽

Infection Model ◽

Immunity Response ◽

Virus Infection Model

Download Full-text

Stability analysis of a virus infection model with humoral immunity response and two time delays

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3790 ◽

2016 ◽

Vol 39 (12) ◽

pp. 3434-3449 ◽

Author(s):

Hui Miao ◽

Zhidong Teng ◽

Chengjun Kang ◽

Ahmadjan Muhammadhaji

Keyword(s):

Stability Analysis ◽

Virus Infection ◽

Humoral Immunity ◽

Time Delays ◽

Infection Model ◽

Immunity Response ◽

Virus Infection Model

Download Full-text

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 ◽

Author(s):

Yan Wang ◽

Xianning Liu

Keyword(s):

Hopf Bifurcation ◽

Virus Infection ◽

Chikungunya Virus ◽

Infection Model ◽

Virus Infection Model

Download Full-text

Analysis of a diffusive virus infection model with humoral immunity, cell-to-cell transmission and nonlinear incidence

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2019.122415 ◽

2019 ◽

Vol 535 ◽

pp. 122415

Author(s):

Yantao Luo ◽

Long Zhang ◽

Tingting Zheng ◽

Zhidong Teng

Keyword(s):

Virus Infection ◽

Humoral Immunity ◽

Infection Model ◽

Nonlinear Incidence ◽

Cell Transmission ◽

Virus Infection Model

Download Full-text

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 ◽

Author(s):

Hui Miao ◽

Zhidong Teng ◽

Xamxinur Abdurahman

Keyword(s):

Hopf Bifurcation ◽

Virus Infection ◽

Infection Model ◽

Three Delays ◽

Virus Infection Model

Download Full-text

Global Properties of a Humoral Immunity Human Immunodeficiency Virus Infection Model with Differential Drug Efficacy in Cocirculating Target Cells

Journal of Computational and Theoretical Nanoscience ◽

10.1166/jctn.2016.5375 ◽

2016 ◽

Vol 13 (8) ◽

pp. 4988-4997

Author(s):

N. A Almuallem ◽

A. M Elaiw

Keyword(s):

Human Immunodeficiency Virus ◽

Virus Infection ◽

Human Immunodeficiency Virus Infection ◽

Humoral Immunity ◽

Drug Efficacy ◽

Infection Model ◽

Target Cells ◽

Global Properties ◽

Immunodeficiency Virus ◽

Virus Infection Model

Download Full-text

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 ◽

Author(s):

Yu Yang

Keyword(s):

Immune Response ◽

Hopf Bifurcation ◽

Virus Infection ◽

T Lymphocyte ◽

Cytotoxic T Lymphocyte ◽

Infection Model ◽

Virus Infection Model

Download Full-text

Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2013.03.004 ◽

2013 ◽

Vol 89 ◽

pp. 13-22 ◽

Author(s):

Tianlei Wang ◽

Zhixing Hu ◽

Fucheng Liao ◽

Wanbiao Ma

Keyword(s):

Stability Analysis ◽

Virus Infection ◽

Global Stability ◽

Incidence Rate ◽

Humoral Immunity ◽

Infection Model ◽

Global Stability Analysis ◽

General Incidence Rate ◽

Virus Infection Model

Download Full-text

Hopf bifurcation of an age-structured virus infection model

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2018046 ◽

2018 ◽

Vol 23 (2) ◽

pp. 861-885

Author(s):

Hossein Mohebbi ◽

◽

Azim Aminataei ◽

Cameron J. Browne ◽

Mohammad Reza Razvan ◽

...

Keyword(s):

Hopf Bifurcation ◽

Virus Infection ◽

Infection Model ◽

Age Structured ◽

Virus Infection Model

Download Full-text

Global dynamics of a reaction–diffusion virus infection model with humoral immunity and nonlinear incidence

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.03.004 ◽

2019 ◽

Vol 78 (3) ◽

pp. 786-806 ◽

Author(s):

Sitian Tang ◽

Zhidong Teng ◽

Hui Miao

Keyword(s):

Virus Infection ◽

Humoral Immunity ◽

Reaction Diffusion ◽

Infection Model ◽

Global Dynamics ◽

Nonlinear Incidence ◽

Virus Infection Model

Download Full-text

Stability of humoral immunity virus infection model with general incidence rate and distributed delays

Miskolc Mathematical Notes ◽

10.18514/mmn.2016.1083 ◽

2016 ◽

Vol 17 (1) ◽

pp. 209

Author(s):

A. M. Elaiw ◽

A. Alhejelan ◽

A. M. Shehata

Keyword(s):

Virus Infection ◽

Incidence Rate ◽

Humoral Immunity ◽

Distributed Delays ◽

Infection Model ◽

General Incidence Rate ◽

Virus Infection Model

Download Full-text