Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay

作者:

Highlights:

• We study the problem of global asymptotic stability for equilibria of a HIV-1 virus model.

• We broaden the construction method into the viral model with infinite distributed delay, and cell-to-cell transmission, respectively.

• Numerical examples are given to illustrate the effectiveness of the theoretical results for sharp threshold property.

摘要

•We study the problem of global asymptotic stability for equilibria of a HIV-1 virus model.•We broaden the construction method into the viral model with infinite distributed delay, and cell-to-cell transmission, respectively.•Numerical examples are given to illustrate the effectiveness of the theoretical results for sharp threshold property.

论文关键词:HIV-1 model,Cell-to-cell transmission,Global stability,Lyapunov functionals

论文评审过程:Received 14 February 2016, Revised 13 June 2016, Accepted 20 June 2016, Available online 15 July 2016, Version of Record 15 July 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.06.032