Advanced Search
Article Contents
Article Contents

An in-host model of HIV incorporating latent infection and viral mutation

Abstract Related Papers Cited by
  • We construct a seven-component model of the in-host dynamics of the Human Immunodeficiency Virus Type-1 (i.e, HIV) that accounts for latent infection and the propensity of viral mutation. A dynamical analysis is conducted and a theorem is presented which characterizes the long time behavior of the model. Finally, we study the effects of an antiretroviral drug and treatment implications.
    Mathematics Subject Classification: Primary: 37N25, 92B05; Secondary: 34D20.


    \begin{equation} \\ \end{equation}
  • [1]

    M. Nowak and R. May, Virus Dynamics: Mathematical Principles of Immunology and Virology, Oxford University Press, 2000, ISBN: 9780198504177.


    S. Pankavich, The effects of latent infection on the dynamics of HIV, Differential Equations and Dynamical Systems, (2015), doi: 10.1007/s12591-014-0234-6.


    C. Parkinson and S. Pankavich, Mathematical Analysis of an in-host Model of Viral Dynamics with Spatial Heterogeneity, submitted.


    A. Perelson, D. Kirschner, and R. Boer, Dynamics of HIV Infection of $CD4^+$ T cells, Math. Biosci., 114 (1993), 81-125.


    A. Perelson and P. Nelson, Mathematical analysis of HIV-1 dynamics in vivo, SIAM Review, 41 (1999), 3-44.


    A. Perelson and R. Ribeiro, Modeling the within-host dynamics of HIV infection, BMC Biology, 11 (2013), 96.


    P. Roemer, E. Jones, M. Raghupathi, and S. Pankavich, Analysis and Simulation of the three-component model of HIV dynamics, SIAM Undergraduate Research Online, 7 (2014), 89-106.


    L. Rong, Z. Feng, and A. Perelson, Emergence of HIV-1 drug resistance during antiretroviral treatment, Bull. Math. Biol., 69 (2007), 2027-2060.


    L. Rong and A. Perelson, Modeling HIV persistence, the latent reservoir, and viral blips, Journal of Theoretical Biology, 260 (2009), 308-331.


    L. Rong and A. Perelson, Modeling Latently Infected Cell Activation: Viral and Latent Reservoir Persistence, and Viral Blips in HIV-infected Patients on Potent Therapy, PLoS Computational Biology, 5 (2009), doi: 10.1371/journal.pcbi.1000533.


    R. Shonkwiler and J. Herod, An Introduction with Maple and Matlab, in Undergraduate Texts in Mathematics: Mathematical Biology, Springer, New York, 2009.

  • 加载中
Open Access Under a Creative Commons license

Article Metrics

HTML views() PDF downloads(66) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint