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Journal of Biological Dynamics Volume 3, 2009 - Issue 4
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Original Articles

Dynamics of an HIV-1 therapy model of fighting a virus with another virus

Xiamei Jiang Department of Computer and Mathematical Sciences, University of Toronto at Scarborough, Toronto, Ont., Canada
,
Pei Yu Department of Applied Mathematics, University of Western Ontario, London, Ont., Canada
,
Zhaohui Yuan College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, China
&
Xingfu Zou Department of Applied Mathematics, University of Western Ontario, London, Ont., CanadaCorrespondence[email protected]
Pages 387-409 | Received 25 Jan 2008, Published online: 08 Jun 2009

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Nigar Ali, Gul Zaman & Muhammad Ikhlaq Chohan. (2017) Mathematical analysis of delayed HIV-1 infection model for the competition of two viruses. Cogent Mathematics 4:1.
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Articles from other publishers (23)

Jens Christian Larsen. (2021) Dynamical aspects of corona virus infection. International Journal of Biomathematics 15:04.
Crossref
Zhiwen Long. (2021) Global Exponential Stability of a Delayed HIV Infection Model with a Nonlinear Incidence Rate. Discrete Dynamics in Nature and Society 2021, pages 1-9.
Crossref
Yanfei Zhao & Yepeng Xing. (2021) A DYNAMIC MODEL FOR COVID-19 THERAPY WITH DEFECTIVE INTERFERING PARTICLES AND ARTIFICIAL ANTIBODIES. Journal of Applied Analysis & Computation 11:5, pages 2611-2629.
Crossref
Chunhua Liu & Lei Kong. (2020) Dynamics of an HIV model with cytotoxic T-lymphocyte memory. Advances in Difference Equations 2020:1.
Crossref
Nigar Ali, Gul Zaman & Il Hyo Jung. (2020) Stability analysis of delay integro-differential equations of HIV-1 infection model. Georgian Mathematical Journal 27:3, pages 331-340.
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Asma, Nigar Ali, Gul Zaman, Anwar Zeb, Vedat Suat Erturk & Il Hyo Jung. (2019) Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary Order. Complexity 2019, pages 1-7.
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Nigar Ali, Gul Zaman, Abdullah, Aisha M. Alqahtani & Ali Saleh Alshomrani. (2017) The Effects of Time Lag and Cure Rate on the Global Dynamics of HIV-1 Model. BioMed Research International 2017, pages 1-11.
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Nigar Ali & Gul Zaman. (2016) Asymptotic behavior of HIV-1 epidemic model with infinite distributed intracellular delays. SpringerPlus 5:1.
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Yun Tian & Yuan Yuan. (2016) Effect of time delays in an HIV virotherapy model with nonlinear incidence. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472:2186, pages 20150626.
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Lingyan Zhao, Haihong Liu & Fang Yan. (2015) Stability and Hopf Bifurcation in a HIV-1 System with Multitime Delays. International Journal of Bifurcation and Chaos 25:10, pages 1550132.
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Xiaoyan Chen, Lihong Huang & Pei Yu. (2015) Dynamic behaviors of a class of HIV compartmental models. Communications in Nonlinear Science and Numerical Simulation 23:1-3, pages 115-128.
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Pei Yu, Jianing Huang & Jiao Jiang. (2014) Dynamics of an HIV-1 infection model with cell mediated immunity. Communications in Nonlinear Science and Numerical Simulation 19:10, pages 3827-3844.
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Yun Tian, Yu Bai & Pei Yu. (2014) Impact of delay on HIV-1 dynamics of fighting a virus with another virus. Mathematical Biosciences and Engineering 11:5, pages 1181-1198.
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Maoxin Liao, Sa Zhao & Manting Liu. (2014) STABILITY ANALYSIS OF AN HIV PATHOGENESIS MODEL WITH SATURATING INFECTION RATE AND TIME DELAY. Journal of applied mathematics & informatics 32:3_4, pages 475-489.
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Zhaohui Yuan, Zhongjun Ma & Xianhua Tang. (2011) Global stability of a delayed HIV infection model with nonlinear incidence rate. Nonlinear Dynamics 68:1-2, pages 207-214.
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PEI YU & XINGFU ZOU. (2012) BIFURCATION ANALYSIS ON AN HIV-1 MODEL WITH CONSTANT INJECTION OF RECOMBINANT. International Journal of Bifurcation and Chaos 22:03, pages 1250062.
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Linhua Zhou & Meng Fan. (2012) Dynamics of an SIR epidemic model with limited medical resources revisited. Nonlinear Analysis: Real World Applications 13:1, pages 312-324.
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Bernard S. Chan & Pei Yu. (2012) Bifurcation analysis in a model of cytotoxic T-lymphocyte response to viral infections. Nonlinear Analysis: Real World Applications 13:1, pages 64-77.
Crossref
Maoan Han & Pei YuMaoan Han & Pei Yu. 2012. Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles. Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles 213 260 .
Maoan Han & Pei YuMaoan Han & Pei Yu. 2012. Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles. Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles 1 6 .
Cruz Vargas-De-León. (2011) Global properties for virus dynamics model with mitotic transmission and intracellular delay. Journal of Mathematical Analysis and Applications 381:2, pages 884-890.
Crossref
Prashant K. Srivastava, M. Banerjee & Peeyush Chandra. (2010) A Primary Infection Model for HIV and Immune response with Two Discrete Time Delays. Differential Equations and Dynamical Systems 18:4, pages 385-399.
Crossref
Cuifang Lv & Zhaohui Yuan. (2009) Stability analysis of delay differential equation models of HIV-1 therapy for fighting a virus with another virus. Journal of Mathematical Analysis and Applications 352:2, pages 672-683.
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