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