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The Global Dynamics of HIV Latency Model Including Cell-to-Cell Viral Transmission

Received: 29 May 2021     Accepted: 21 June 2021     Published: 9 July 2021
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Abstract

HIV spreads by cell-to-cell transfer and the release of cell-free particles. A slightly more effective method of retroviral transmission is the direct cell-to-cell transfer of HIV, according to recent reports. Intracellular interaction between unhealthy and healthy cells, in combination with cytokine discharged by the cells included, may affect the susceptibility of a target resting CD4+T cell to HIV infection and the formation of latent infection. We suggest a class of HIV latency mathematical model, integrating both cell-free virus transmission and direct cell-to-cell diffusion to improve the understanding of the dynamics of the latent reservoirs. We incorporate four components in our model: the uninfected T cells, the latently infected T cells, the active-infected T cells and the HIV viruses. We examine the latency model by introducing the basic reproduction number. We first establish the non-negativity and boundedness of the solutions of the system, and then we investigate the global stability of the steady states. The diseased-free equilibrium is globally stable when the basic reproduction number is less than 1 and if the basic reproduction number is greater than 1, the diseased equilibrium exists and is globally stable. Numerical simulations are executed to interpret the theoretical outcomes and evaluate the relative contribution of latency fractions in the virus production and the HIV latent reservoir by providing estimates.

Published in Applied and Computational Mathematics (Volume 10, Issue 4)
DOI 10.11648/j.acm.20211004.12
Page(s) 91-99
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2021. Published by Science Publishing Group

Keywords

HIV, Infected Latent Cells, Virus Intracellular Transmission, Global Stability

References
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Cite This Article
  • APA Style

    Wajahat Ali, Zhipeng Qiu. (2021). The Global Dynamics of HIV Latency Model Including Cell-to-Cell Viral Transmission. Applied and Computational Mathematics, 10(4), 91-99. https://doi.org/10.11648/j.acm.20211004.12

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    ACS Style

    Wajahat Ali; Zhipeng Qiu. The Global Dynamics of HIV Latency Model Including Cell-to-Cell Viral Transmission. Appl. Comput. Math. 2021, 10(4), 91-99. doi: 10.11648/j.acm.20211004.12

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    AMA Style

    Wajahat Ali, Zhipeng Qiu. The Global Dynamics of HIV Latency Model Including Cell-to-Cell Viral Transmission. Appl Comput Math. 2021;10(4):91-99. doi: 10.11648/j.acm.20211004.12

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  • @article{10.11648/j.acm.20211004.12,
      author = {Wajahat Ali and Zhipeng Qiu},
      title = {The Global Dynamics of HIV Latency Model Including Cell-to-Cell Viral Transmission},
      journal = {Applied and Computational Mathematics},
      volume = {10},
      number = {4},
      pages = {91-99},
      doi = {10.11648/j.acm.20211004.12},
      url = {https://doi.org/10.11648/j.acm.20211004.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20211004.12},
      abstract = {HIV spreads by cell-to-cell transfer and the release of cell-free particles. A slightly more effective method of retroviral transmission is the direct cell-to-cell transfer of HIV, according to recent reports. Intracellular interaction between unhealthy and healthy cells, in combination with cytokine discharged by the cells included, may affect the susceptibility of a target resting CD4+T cell to HIV infection and the formation of latent infection. We suggest a class of HIV latency mathematical model, integrating both cell-free virus transmission and direct cell-to-cell diffusion to improve the understanding of the dynamics of the latent reservoirs. We incorporate four components in our model: the uninfected T cells, the latently infected T cells, the active-infected T cells and the HIV viruses. We examine the latency model by introducing the basic reproduction number. We first establish the non-negativity and boundedness of the solutions of the system, and then we investigate the global stability of the steady states. The diseased-free equilibrium is globally stable when the basic reproduction number is less than 1 and if the basic reproduction number is greater than 1, the diseased equilibrium exists and is globally stable. Numerical simulations are executed to interpret the theoretical outcomes and evaluate the relative contribution of latency fractions in the virus production and the HIV latent reservoir by providing estimates.},
     year = {2021}
    }
    

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    T1  - The Global Dynamics of HIV Latency Model Including Cell-to-Cell Viral Transmission
    AU  - Wajahat Ali
    AU  - Zhipeng Qiu
    Y1  - 2021/07/09
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    N1  - https://doi.org/10.11648/j.acm.20211004.12
    DO  - 10.11648/j.acm.20211004.12
    T2  - Applied and Computational Mathematics
    JF  - Applied and Computational Mathematics
    JO  - Applied and Computational Mathematics
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    PB  - Science Publishing Group
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    AB  - HIV spreads by cell-to-cell transfer and the release of cell-free particles. A slightly more effective method of retroviral transmission is the direct cell-to-cell transfer of HIV, according to recent reports. Intracellular interaction between unhealthy and healthy cells, in combination with cytokine discharged by the cells included, may affect the susceptibility of a target resting CD4+T cell to HIV infection and the formation of latent infection. We suggest a class of HIV latency mathematical model, integrating both cell-free virus transmission and direct cell-to-cell diffusion to improve the understanding of the dynamics of the latent reservoirs. We incorporate four components in our model: the uninfected T cells, the latently infected T cells, the active-infected T cells and the HIV viruses. We examine the latency model by introducing the basic reproduction number. We first establish the non-negativity and boundedness of the solutions of the system, and then we investigate the global stability of the steady states. The diseased-free equilibrium is globally stable when the basic reproduction number is less than 1 and if the basic reproduction number is greater than 1, the diseased equilibrium exists and is globally stable. Numerical simulations are executed to interpret the theoretical outcomes and evaluate the relative contribution of latency fractions in the virus production and the HIV latent reservoir by providing estimates.
    VL  - 10
    IS  - 4
    ER  - 

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Author Information
  • School of Science, Nanjing University of Science and Technology, Nanjing, China

  • School of Science, Nanjing University of Science and Technology, Nanjing, China

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