Literature DB >> 16466751

Mathematical analysis of the global dynamics of a model for HIV infection of CD4+ T cells.

Liancheng Wang1, Michael Y Li.   

Abstract

A mathematical model that describes HIV infection of CD4(+) T cells is analyzed. Global dynamics of the model is rigorously established. We prove that, if the basic reproduction number R(0) < or = 1, the HIV infection is cleared from the T-cell population; if R(0) > 1, the HIV infection persists. For an open set of parameter values, the chronic-infection equilibrium P* can be unstable and periodic solutions may exist. We establish parameter regions for which P* is globally stable.

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Year:  2006        PMID: 16466751     DOI: 10.1016/j.mbs.2005.12.026

Source DB:  PubMed          Journal:  Math Biosci        ISSN: 0025-5564            Impact factor:   2.144


  15 in total

1.  Joint effects of mitosis and intracellular delay on viral dynamics: two-parameter bifurcation analysis.

Authors:  Michael Y Li; Hongying Shu
Journal:  J Math Biol       Date:  2011-06-14       Impact factor: 2.259

2.  A model of HIV-1 infection with two time delays: mathematical analysis and comparison with patient data.

Authors:  Kasia A Pawelek; Shengqiang Liu; Faranak Pahlevani; Libin Rong
Journal:  Math Biosci       Date:  2011-11-13       Impact factor: 2.144

3.  Modeling quasispecies and drug resistance in hepatitis C patients treated with a protease inhibitor.

Authors:  Libin Rong; Ruy M Ribeiro; Alan S Perelson
Journal:  Bull Math Biol       Date:  2012-05-26       Impact factor: 1.758

Review 4.  Modeling antiretroviral drug responses for HIV-1 infected patients using differential equation models.

Authors:  Yanni Xiao; Hongyu Miao; Sanyi Tang; Hulin Wu
Journal:  Adv Drug Deliv Rev       Date:  2013-04-17       Impact factor: 15.470

5.  Fractional modeling dynamics of HIV and CD4+ T-cells during primary infection.

Authors:  Aam Arafa; Sz Rida; M Khalil
Journal:  Nonlinear Biomed Phys       Date:  2012-01-03

6.  Computational analysis of the model describing HIV infection of CD4+T Cells.

Authors:  Abdon Atangana; Emile Franc Doungmo Goufo
Journal:  Biomed Res Int       Date:  2014-07-17       Impact factor: 3.411

7.  Global Stability of Delayed Viral Infection Models with Nonlinear Antibody and CTL Immune Responses and General Incidence Rate.

Authors:  Hui Miao; Zhidong Teng; Zhiming Li
Journal:  Comput Math Methods Med       Date:  2016-12-15       Impact factor: 2.238

8.  The Fractional Differential Model of HIV-1 Infection of CD4+ T-Cells with Description of the Effect of Antiviral Drug Treatment.

Authors:  Bijan Hasani Lichae; Jafar Biazar; Zainab Ayati
Journal:  Comput Math Methods Med       Date:  2019-01-08       Impact factor: 2.238

9.  Modeling Inhibitory Effect on the Growth of Uninfected T Cells Caused by Infected T Cells: Stability and Hopf Bifurcation.

Authors:  Yahui Ji; Wanbiao Ma; Keying Song
Journal:  Comput Math Methods Med       Date:  2018-08-12       Impact factor: 2.238

10.  Dynamics analysis and simulation of a modified HIV infection model with a saturated infection rate.

Authors:  Qilin Sun; Lequan Min
Journal:  Comput Math Methods Med       Date:  2014-03-23       Impact factor: 2.238

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