4.5 Article

The effects of CTL immune response on HIV infection model with potent therapy, latently infected cells and cell-to-cell viral transmission

期刊

MATHEMATICAL BIOSCIENCES AND ENGINEERING
卷 16, 期 6, 页码 6822-6841

出版社

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mbe.2019341

关键词

HIV; CTL immune response; antiretroviral therapy; latently infected cells; cell-to-cell viral transmission; global stability

资金

  1. Postgraduate Research and Practice Innovation Program of Jiangsu Province [KYCX18 0375]
  2. CSC [201806840119]
  3. National Natural Science Foundations of China [11671206]

向作者/读者索取更多资源

In this paper, a mathematical model is formulated to investigate the effect of cytotoxic T lymphocyte (CTL) immune response on human immunodeficiency virus (HIV) infection dynamics. The model includes latently infected cells, antiretroviral therapy, cell-free virus infection and cell-tocell viral transmission. By constructing Lyapunov functionals, the global stability of three equilibria is obtained. More specifically, the infection-free equilibrium E-f is globally asymptotically stable when the basic reproductive numbers R-0 < 1, implying that the virus can be eventually cleared; the infected equilibrium without immune response E-w is globally asymptotically stable when the CTL immune response reproduction number R-1 is less than one and R-0 is greater than one, implying that the infection becomes chronic, but CTL immune response has not been established; the infected equilibrium with immune response E, is globally asymptotically stable when R-1 > 1, implying that the infection becomes chronic with persistent CTL immune response. Numerical simulations confirm the above theoretical results. Moreover, the inclusion of CFI, immune response can generate a higher level of uninfected CD4+ T cells, and significantly reduce infected cells and viral load. These results may help to improve the understanding of HIV infection dynamics.

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