Dynamics of an HTLV-I infection model with delayed CTLs immune response
作者：
Highlights：
• A model for HTLV-I infection that includes uninfected & infected CD4+T cells and HTLV-I-specific CD8+T cells.
• To better understand the dynamics of HTLV-I infection, we incorporate a CTL immune response delay.
• Applying Lyapunov functional procedures to determine global stability by the reproduction numbers R0 and R1.
• The model with delay experiences a destabilization of the infected steady state leading to Hopf bifurcation and periodic solutions.
• We estimate the length of delay to preserve the stability of bifurcating limit cycle using Nyquist criteria.
摘要
•A model for HTLV-I infection that includes uninfected & infected CD4+T cells and HTLV-I-specific CD8+T cells.•To better understand the dynamics of HTLV-I infection, we incorporate a CTL immune response delay.•Applying Lyapunov functional procedures to determine global stability by the reproduction numbers R0 and R1.•The model with delay experiences a destabilization of the infected steady state leading to Hopf bifurcation and periodic solutions.•We estimate the length of delay to preserve the stability of bifurcating limit cycle using Nyquist criteria.
论文关键词：HTLV-I infection,CTLs immune response,Time delay,Lyapunov function,Global asymptotic stability,Hopf bifurcation
论文评审过程：Received 25 February 2022, Revised 22 April 2022, Accepted 24 April 2022, Available online 29 May 2022, Version of Record 29 May 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127206
