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

Hui Miao; Zhidong Teng; Chengjun Kang; Ahmadjan Muhammadhaji

doi:10.1002/mma.3790

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 ◽

Cited By ~ 24

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

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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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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 ◽

Cited By ~ 56

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

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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

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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

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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 ◽

Cited By ~ 3

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

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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

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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 of endemic equilibrium point of basic virus infection model with application to HBV infection

Journal of Systems Science and Complexity ◽

10.1007/s11424-010-8467-0 ◽

2010 ◽

Vol 23 (6) ◽

pp. 1221-1230 ◽

Cited By ~ 21

Author(s):

Yu Zheng ◽

Lequan Min ◽

Yu Ji ◽

Yongmei Su ◽

Yang Kuang

Keyword(s):

Virus Infection ◽

Global Stability ◽

Equilibrium Point ◽

Endemic Equilibrium ◽

Hbv Infection ◽

Infection Model ◽

Virus Infection Model

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A Hepatitis C Virus Infection Model with Time-Varying Drug Effectiveness: Solution and Analysis

PLoS Computational Biology ◽

10.1371/journal.pcbi.1003769 ◽

2014 ◽

Vol 10 (8) ◽

pp. e1003769 ◽

Cited By ~ 11

Author(s):

Jessica M. Conway ◽

Alan S. Perelson

Keyword(s):

Hepatitis C Virus ◽

Hepatitis C ◽

Virus Infection ◽

Infection Model ◽

Time Varying ◽

Hepatitis C Virus Infection ◽

Drug Effectiveness ◽

Virus Infection Model

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Discrete virus infection model of hepatitis B virus

Bio-Medical Materials and Engineering ◽

10.3233/bme-151524 ◽

2015 ◽

Vol 26 (s1) ◽

pp. S2187-S2195 ◽

Cited By ~ 1

Author(s):

Pengfei Zhang ◽

Lequan Min ◽

Jianwei Pian

Keyword(s):

Hepatitis B Virus ◽

Virus Infection ◽

Hepatitis B ◽

Infection Model ◽

B Virus ◽

Virus Infection Model

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