TY - JOUR TI - HIV1 dynamics revisited: biphasic decay by cytotoxic T lymphocyte killing? AU - R. A. Arnaout AU - M. A. Nowak AU - D. Wodarz JO - Proc. Roy. Soc. Lond. B PY - 2000 DA - 2000// VL - 267 ID - Arnaout2000 ER - TY - JOUR TI - Analysis of a viral infection model with immune impairment, intracellular delay and general non-linear incidence rate AU - E. Avila-Vales AU - N. Chan-Chí AU - G. García-Almeida JO - Chaos Solitons Fractals PY - 2014 DA - 2014// VL - 69 ID - Avila-Vales2014 ER - TY - JOUR TI - HIV-1 infection and low steady state viral loads AU - D. S. Callaway AU - A. S. Perelson JO - Bull. Math. Biol. PY - 2002 DA - 2002// VL - 64 ID - Callaway2002 ER - TY - JOUR TI - Stability analysis in delayed within-host viral dynamics with both viral and cellular infections AU - S.-S. Chen AU - C.-Y. Cheng AU - Y. Takeuchi JO - J. Math. Anal. Appl. PY - 2016 DA - 2016// VL - 442 ID - Chen2016 ER - TY - JOUR TI - A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay AU - R. V. Culshaw AU - S. Ruan AU - G. Webb JO - J. Math. Biol. PY - 2003 DA - 2003// VL - 46 ID - Culshaw2003 ER - TY - JOUR TI - Global properties of a class of HIV models AU - A. M. Elaiw JO - Nonlinear Anal. Real World Appl. PY - 2010 DA - 2010// VL - 11 ID - Elaiw 2010 ER - TY - JOUR TI - Global dynamics of an HIV infection model with two classes of target cells and distributed delays AU - A. M. Elaiw JO - Discrete Dyn. Nat. Soc. PY - 2012 DA - 2012// VL - 2012 ID - Elaiw 2012 ER - TY - JOUR TI - Global properties of a class of virus infection models with multitarget cells AU - A. M. Elaiw JO - Nonlinear Dynam. PY - 2012 DA - 2012// VL - 69 ID - Elaiw2012 ER - TY - JOUR TI - Global properties of a cell mediated immunity in HIV infection model with two classes of target cells and distributed delays AU - A. M. Elaiw AU - R. M. Abukwaik AU - E. O. Alzahrani JO - Int. J. Biomath. PY - 2014 DA - 2014// VL - 2014 ID - Elaiw2014 ER - TY - JOUR TI - Global dynamics of delay-distributed HIV infection models with differential drug efficacy in cocirculating target cells AU - A. M. Elaiw AU - N. A. Almuallem JO - Math. Methods Appl. Sci. PY - 2016 DA - 2016// VL - 39 ID - Elaiw2016 ER - TY - JOUR TI - Global properties of nonlinear humoral immunity viral infection models AU - A. M. Elaiw AU - N. H. AlShamrani JO - Int. J. Biomath. PY - 2015 DA - 2015// VL - 2015 ID - Elaiw2015 ER - TY - JOUR TI - Global stability of humoral immunity virus dynamics models with nonlinear infection rate and removal AU - A. M. Elaiw AU - N. H. AlShamrani JO - Nonlinear Anal. Real World Appl. PY - 2015 DA - 2015// VL - 26 ID - Elaiw2015 ER - TY - JOUR TI - Global properties of a class of HIV infection models with Beddington-DeAngelis functional response AU - A. M. Elaiw AU - S. A. Azoz JO - Math. Methods Appl. Sci. PY - 2013 DA - 2013// VL - 36 ID - Elaiw2013 ER - TY - JOUR TI - Global stability of HIV infection models with intracellular delays AU - A. M. Elaiw AU - I. Hassanien AU - S. A. Azoz JO - J. Korean Math. Soc. PY - 2012 DA - 2012// VL - 49 ID - Elaiw2012 ER - TY - JOUR TI - Stability of HIV-1 infection with saturated virus-target and infected-target incidences and CTL immune response AU - A. M. Elaiw AU - A. A. Raezah AU - K. Hattaf JO - Int. J. Biomath. PY - 2017 DA - 2017// VL - 2017 ID - Elaiw2017 ER - TY - JOUR TI - Backward bifurcation in a model for HTLV-I infection of CD4+ T cells AU - H. Gómez-Acevedo AU - M. Y. Li JO - Bull. Math. Biol. PY - 2005 DA - 2005// VL - 67 ID - Gómez-Acevedo2005 ER - TY - JOUR TI - Dynamics analysis of a delayed viral infection model with logistic growth and immune impairment AU - Z. Hu AU - J. Zhang AU - H. Wang AU - W. Ma AU - F. Liao JO - Appl. Math. Model. PY - 2014 DA - 2014// VL - 38 ID - Hu2014 ER - TY - JOUR TI - Analysis of an HIV infection model with treatments and delayed immune response AU - D. Huang AU - X. Zhang AU - Y. Guo AU - H.Wang JO - Appl. Math. Model. PY - 2016 DA - 2016// VL - 40 ID - Huang2016 ER - TY - JOUR TI - Analysis of time delay in viral infection model with immune impairment AU - P. Krishnapriya AU - M. Pitchaimani JO - J. Appl. Math. Comput. PY - 2017 DA - 2017// VL - 55 ID - Krishnapriya2017 ER - TY - JOUR TI - Modeling and bifurcation analysis of a viral infection with time delay and immune impairment AU - P. Krishnapriya AU - M. Pitchaimani JO - Jpn. J. Ind. Appl. Math. PY - 2017 DA - 2017// VL - 34 ID - Krishnapriya2017 ER - TY - JOUR TI - Modelling HIV-1 virus dynamics with both virus-to-cell infection and cell-to-cell transmission AU - X. Lai AU - X. Zou JO - SIAM J. Appl. Math. PY - 2014 DA - 2014// VL - 74 ID - Lai2014 ER - TY - JOUR TI - Modeling cell-to-cell spread of HIV-1 with logistic target cell growth AU - X. Lai AU - X. Zou JO - J. Math. Anal. Appl. PY - 2015 DA - 2015// VL - 426 ID - Lai2015 ER - TY - JOUR TI - A delayed HIV-1 model with virus waning term AU - B. Li AU - Y. Chen AU - X. Lu AU - S. Liu JO - Math. Biosci. Eng. PY - 2016 DA - 2016// VL - 13 ID - Li2016 ER - TY - JOUR TI - Global stability of a virus dynamics model with intracellular delay and CTL immune response AU - X. Li AU - S. Fu JO - Math. Methods Appl. Sci. PY - 2015 DA - 2015// VL - 38 ID - Li2015 ER - TY - JOUR TI - Global dynamics of a mathematical model for HTLV-I infection of CD4+ T cells with delayed CTL response AU - M. Y. Li AU - H. Shu JO - Nonlinear Anal. Real World Appl. PY - 2012 DA - 2012// VL - 13 ID - Li2012 ER - TY - JOUR TI - Backward bifurcation in a mathematical model for HIV infection in vivo with anti-retroviral treatment AU - M. Y. Li AU - L. Wang JO - Nonlinear Anal. Real World Appl. PY - 2014 DA - 2014// VL - 17 ID - Li2014 ER - TY - JOUR TI - Global stability for an HIV-1 infection model with Beddington–DeAngelis incidence rate and CTL immune response AU - C. Lv AU - L. Huang AU - Z. Yuan JO - Commun. Nonlinear Sci. Numer. Simul. PY - 2014 DA - 2014// VL - 19 ID - Lv2014 ER - TY - JOUR TI - Analysis of stability and Hopf bifurcation for HIV-1 dynamics with PI and three intracellular delays AU - C. Monica AU - M. Pitchaimani JO - Nonlinear Anal. Real World Appl. PY - 2016 DA - 2016// VL - 27 ID - Monica2016 ER - TY - JOUR TI - Hepatitis C viral dynamics in vivo and the antiviral efficacy of interferon-alpha therapy AU - A. U. Neumann AU - N. P. Lam AU - H. Dahari AU - D. R. Gretch AU - T. E. Wiley AU - T. J. Layden AU - A. S. Perelson JO - Science PY - 1998 DA - 1998// VL - 282 ID - Neumann1998 ER - TY - JOUR TI - Population dynamics of immune responses to persistent viruses AU - M. A. Nowak AU - C. R. M. Bangham JO - Science PY - 1996 DA - 1996// VL - 272 ID - Nowak1996 ER - TY - BOOK TI - Virus dynamics: Mathematical Principles of Immunology and Virology AU - M. A. Nowak AU - R. May PB - Oxford Uni. PY - 2000 DA - 2000// CY - UK ID - Nowak2000 ER - TY - JOUR TI - Analysis of a hepatitis B viral infection model with immune response delay AU - J. Pang AU - J.-A. Cui JO - Int. J. Biomath. PY - 2017 DA - 2017// VL - 2017 ID - Pang2017 ER - TY - JOUR TI - The importance of immune responses in a model of hepatitis B virus AU - J. Pang AU - J.-A. Cui. J. Hui JO - Nonlinear Dynam. PY - 2012 DA - 2012// VL - 67 ID - Pang2012 ER - TY - JOUR TI - Global analysis of within host virus models with cell-to-cell viral transmission AU - H. Pourbashash AU - S. S. Pilyugin AU - P. De Leenheer AU - C. McCluskey JO - Discrete Contin. Dyn. Syst. Ser. B PY - 2014 DA - 2014// VL - 19 ID - Pourbashash2014 ER - TY - JOUR TI - Virus dynamics: the effect to target cell limitation and immune responses on virus evolution AU - R. R. Regoes AU - D. Wodarz AU - M. A. Nowak JO - J. Theor. Biol. PY - 1998 DA - 1998// VL - 191 ID - Regoes1998 ER - TY - JOUR TI - Long term dynamics in a mathematical model of HIV-1 infection with delay in different variants of the basic drug therapy model AU - P. K. Roy AU - A. N. Chatterjee AU - D. Greenhalgh AU - Q. J. A. Khan JO - Nonlinear Anal. Real World Appl. PY - 2013 DA - 2013// VL - 14 ID - Roy2013 ER - TY - JOUR TI - Global stability of a nonlinear viral infection model with infinitely distributed intracellular delays and CTL immune responses AU - H. Shu AU - L.Wang AU - J.Watmough JO - SIAM J. Appl. Math. PY - 2013 DA - 2013// VL - 73 ID - Shu2013 ER - TY - JOUR TI - Global properties of a delayed HIV infection model with CTL immune response AU - X. Wang AU - A. M. Elaiw AU - X. Song JO - Appl. Math. Comput. PY - 2012 DA - 2012// VL - 218 ID - Wang2012 ER - TY - JOUR TI - Global properties of an improved hepatitis B virus model AU - K. Wang AU - A. Fan AU - A. Torres JO - Nonlinear Anal. Real World Appl. PY - 2010 DA - 2010// VL - 11 ID - Wang2010 ER - TY - JOUR TI - Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay AU - J. Wang AU - M. Guo AU - X. Liu AU - Z. Zhao JO - Appl. Math. Comput. PY - 2016 DA - 2016// VL - 291 ID - Wang2016 ER - TY - JOUR TI - Analysis of an age structured HIV infection model with virus-to-cell infection and cell-to-cell transmission AU - J. Wang AU - J. Lang AU - X. Zou JO - Nonlinear Anal. Real World Appl. PY - 2017 DA - 2017// VL - 34 ID - Wang2017 ER - TY - JOUR TI - Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression AU - L. Wang AU - M. Y. Li AU - D. Kirschner JO - Math. Biosci. PY - 2002 DA - 2002// VL - 179 ID - Wang2002 ER - TY - JOUR TI - Dynamics analysis of a delayed viral infection model with immune impairment AU - S. Wang AU - X. Song AU - Z. Ge JO - Appl. Math. Model. PY - 2011 DA - 2011// VL - 35 ID - Wang2011 ER - TY - JOUR TI - Global Stability in a viral infection model with lytic and nonlytic immune response AU - K. Wang AU - W. Wang AU - X. Liu JO - Comput. Math. Appl. PY - 2006 DA - 2006// VL - 51 ID - Wang2006 ER - TY - JOUR TI - Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions AU - Y. Yang AU - L. Zou AU - S. Ruan JO - Math. Biosci. PY - 2015 DA - 2015// VL - 270 ID - Yang2015 ER - TY - JOUR TI - Dynamics of an HBV/HCV infection model with intracellular delay and cell proliferation AU - F. Zhang AU - J. Li AU - C. Zheng AU - L. Wang JO - Commun. Nonlinear Sci. Numer. Simul. PY - 2017 DA - 2017// VL - 42 ID - Zhang2017 ER - TY - JOUR TI - Dynamic analysis and optimal control for a model of hepatitis C with treatment AU - S. Zhang AU - X. Xu JO - Commun. Nonlinear Sci. Numer. Simul. PY - 2017 DA - 2017// VL - 46 ID - Zhang2017 ER - TY - JOUR TI - Global dynamics for a delyed hepatitis C virus,infection model AU - Y. Zhao AU - Z. Xu JO - Electron. J. Differential Equations PY - 2014 DA - 2014// VL - 2014 ID - Zhao2014 ER -