%0 Journal Article %T The challenge of viral reservoirs in HIV-1 infection %A J. N. Blankson %A D. Persaud %A R. F. Siliciano %J Annu. Rev. Med. %D 2002 %V 53 %F Blankson2002 %0 Journal Article %T Global stability for an HIV-1 infection model including an eclipse stage of infected cells %A B. Buonomo %A C. Vargas-De-León %J J. Math. Anal. Appl. %D 2012 %V 385 %F Buonomo2012 %0 Journal Article %T HIV-1 infection and low steady state viral loads %A D. S. Callaway %A A. S. Perelson %J Bull. Math. Biol. %D 2002 %V 64 %F Callaway2002 %0 Journal Article %T A delay-differential equation model of HIV infection of CD4+ T-cells %A R. V. Culshaw %A S. Ruan %J Math. Biosci. %D 2000 %V 165 %F Culshaw2000 %0 Journal Article %T A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay %A R. V. Culshaw %A S. Ruan %A G. Webb %J J. Math. Biol. %D 2003 %V 46 %F Culshaw2003 %0 Journal Article %T A mathematical model for transmission dynamics of HIV/AIDS with effect of weak CD4+ T cells %A A. Dutta %A P. K. Gupta %J Chin. J. Phys. %D 2018 %V 56 %F Dutta 2018 %0 Journal Article %T Global properties of a class of HIV models %A A. M. Elaiw %J Nonlinear Anal. Real World Appl. %D 2010 %V 11 %F Elaiw2010 %0 Journal Article %T Global properties of a class of virus infection models with multitarget cells %A A. M. Elaiw %J Nonlinear Dynam. %D 2012 %V 69 %F Elaiw2012 %0 Journal Article %T Effect of antibodies on pathogen dynamics with delays and two routes of infection %A A. M. Elaiw %A A. A. Almatrafi %A A. D. Hobiny %J AIP Advances %D 2018 %V 8 %F Elaiw2018 %0 Journal Article %T Global dynamics of delay-distributed HIV infection models with differential drug efficacy in cocirculating target cells %A A. M. Elaiw %A N. A. Almuallem %J Math. Methods Appl. Sci. %D 2016 %V 39 %F Elaiw2016 %0 Journal Article %T Global properties of delayed-HIV dynamics models with differential drug efficacy in cocirculating target cells %A A. M. Elaiw %A N. A. Almuallem %J Appl. Math. Comput. %D 2015 %V 265 %F Elaiw2015 %0 Journal Article %T Global properties of nonlinear humoral immunity viral infection models %A A. M. Elaiw %A N. H. AlShamrani %J Int. J. Biomath. %D 2015 %V 8 %F Elaiw2015 %0 Journal Article %T Global stability of humoral immunity virus dynamics models with nonlinear infection rate and removal %A A. M. Elaiw %A N. H. AlShamrani %J Nonlinear Anal. Real World Appl. %D 2015 %V 26 %F Elaiw2015 %0 Journal Article %T Stability of a general delay-distributed virus dynamics model with multi-staged infected progression and immune response %A A. M. Elaiw %A N. H. AlShamrani %J Math. Methods Appl. Sci. %D 2017 %V 40 %F Elaiw2017 %0 Journal Article %T Stability of an adaptive immunity pathogen dynamics model with latency and multiple delays %A A. M. Elaiw %A N. H. AlShamrani %J Math. Methods Appl. Sci. %D 2018 %V 36 %F Elaiw2018 %0 Journal Article %T Stability of CTL immunity pathogen dynamics model with capsids and distributed delay %A A. M. Elaiw %A N. H. AlShamrani %A A. S. Alofi %J AIP Advances %D 2017 %V 7 %F Elaiw2017 %0 Journal Article %T Dynamical behaviors of a general humoral immunity viral infection model with distributed invasion and production %A A. M. Elaiw %A N. H. AlShamrani %A K. Hattaf %J Int. J. Biomath. %D 2017 %V 10 %F Elaiw2017 %0 Journal Article %T Global properties of a class of HIV infection models with Beddington-DeAngelis functional response %A A. M. Elaiw %A S. A. Azoz %J Math. Methods Appl. Sci. %D 2013 %V 36 %F Elaiw2013 %0 Journal Article %T Effect of cellular reservoirs and delays on the global dynamics of HIV %A A. M. Elaiw %A E. K. Elnahary %A A. A. Raezah %J Adv. Difference Equ. %D 2018 %V 2018 %F Elaiw2018 %0 Journal Article %T Global stability of HIV infection models with intracellular delays %A A. M. Elaiw %A I. A. Hassanien %A S. A. Azoz %J J. Korean Math. Soc. %D 2012 %V 49 %F Elaiw2012 %0 Journal Article %T Stability of general virus dynamics models with both cellular and viral infections and delays %A A. M. Elaiw %A A. A. Raezah %J Math. Methods Appl. Sci. %D 2017 %V 40 %F Elaiw2017 %0 Journal Article %T Effect of humoral immunity on HIV-1 dynamics with virus-to-target and infectedto- target infections %A A. M. Elaiw %A A. A. Raezah %A A. S. Alofi %J AIP Advances %D 2016 %V 6 %F Elaiw2016 %0 Journal Article %T Stability of a general delayed virus dynamics model with humoral immunity and cellular infection %A A. M. Elaiw %A A. A. Raezah %A A. S. Alofi %J AIP Advances %D 2017 %V 7 %F Elaiw2017 %0 Journal Article %T Stability of HIV-1 infection with saturated virus-target and infected-target incidences and CTL immune response %A A. M. Elaiw %A %A A. A. Raezah %A K. Hattaf %J Int. J. Biomath. %D 2017 %V 10 %F Elaiw2017 %0 Journal Article %T Heterogeneous population dynamics of active particles: Progression, mutations, and selection dynamics %A L. Gibelli %A A. Elaiw %A M. A. Alghamdi %A A. M. Althiabi %J Math. Models Methods Appl. Sci. %D 2017 %V 27 %F Gibelli2017 %0 Book %T Introduction to functional differential equations %A J. K. Hale %A S. M. Verduyn Lunel %D 1993 %I Springer-Verlag %C New York %F Hale1993 %0 Journal Article %T A generalized virus dynamics model with cell-to-cell transmission and cure rate %A K. Hattaf %A N. Yousfi %J Adv. Difference Equ. %D 2016 %V 2016 %F Hattaf2016 %0 Journal Article %T Lyapunov functionals for delay differential equations model of viral infections %A G. Huang %A Y. Takeuchi %A W. Ma %J SIAM J. Appl. Math. %D 2010 %V 70 %F Huang2010 %0 Journal Article %T Global properties of basic virus dynamics models %A A. Korobeinikov %J Bull. Math. Biol. %D 2004 %V 66 %F Korobeinikov2004 %0 Journal Article %T A delayed HIV-1 model with virus waning term %A B. Li %A Y. M. Chen %A X. J. Lu %A S. Q. Liu %J Math. Biosci. Eng. %D 2016 %V 13 %F Li2016 %0 Journal Article %T Backward bifurcation in a mathematical model for HIV infection in vivo with anti-retroviral treatment %A M. Y. Li %A L. C.Wang %J Nonlinear Anal. Real World Appl. %D 2014 %V 17 %F Li2014 %0 Journal Article %T A model of HIV-1 pathogenesis that includes an intracellular delay %A P. W. Nelson %A J. D. Murray %A A. S. Perelson %J Math. Biosci. %D 2000 %V 163 %F Nelson2000 %0 Journal Article %T Population dynamics of immune responses to persistent viruses %A M. A. Nowak %A C. R. M. Bangham %J Science %D 1996 %V 272 %F Nowak1996 %0 Journal Article %T Decay characteristics of HIV-1 infected compartments during combination therapy %A A. S. Perelson %A P. Essunger %A Y. Cao %A M. Vesanen %A A. Hurley %A K. Saksela %A M. Markowitz %A D. D. Ho %J Nature %D 1997 %V 387 %F Perelson1997 %0 Journal Article %T A latency fractional order model for HIV dynamics %A C. M. A. Pinto %A A. R. M. Carvalho %J J. Comput. Appl. Math. %D 2017 %V 312 %F Pinto2017 %0 Journal Article %T Mathematical analysis of the global dynamics of a model for HIV infection of CD4+ T cells %A L. C. Wang %A M. Y. Li %J Math. Biosci. %D 2006 %V 200 %F Wang2006 %0 Journal Article %T Global dynamics for discrete-time analog of viral infection model with nonlinear incidence and CTL immune response %A J. P. Wang %A Z. D. Teng %A H. Miao %J Adv. Difference Equ. %D 2016 %V 2016 %F Wang2016 %0 Journal Article %T Permanence and positive periodic solution for the single-species nonautonomous delay diffusive models %A X. Yang %A L. S. Chen %A J. F. Chen %J Comput. Math. Appl. %D 1996 %V 32 %F Yang1996 %0 Journal Article %T Mathematical insights in evaluating state dependent effectiveness of HIV prevention interventions %A Y. Zhao %A D. T. Dimitrov %A H. Liu %A Y. Kuang %J Bull. Math. Biol. %D 2013 %V 75 %F Zhao2013