An in-host HIV-1 infection model incorporating quiescent and activated CD4+ T cells as well as CTL response

作者：

Highlights：

• A model describing the dynamics of quiescent and activated CD4+ T cells in acute HIV-1 infection.

• Forward bifurcation with the aid of Brouwer degree theory and asymptotic expansions.

• Application aspects based on local sensitivity of the basic reproduction ratio.

• Numerical bifurcation analysis around virus-free states.

• Time scale separation leading to the existence of canards.

摘要

•A model describing the dynamics of quiescent and activated CD4+ T cells in acute HIV-1 infection.•Forward bifurcation with the aid of Brouwer degree theory and asymptotic expansions.•Application aspects based on local sensitivity of the basic reproduction ratio.•Numerical bifurcation analysis around virus-free states.•Time scale separation leading to the existence of canards.

论文关键词：HIV-1,Quiescent cell,Activated cell,CTL response,Canard

论文评审过程：Received 22 December 2020, Revised 19 March 2021, Accepted 29 May 2021, Available online 21 June 2021, Version of Record 21 June 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126410