南华大学学报(自然科学版)2025,Vol.39Issue(1):77-81,5.DOI:10.19431/j.cnki.1673-0062.2025.01.011
一类具时滞的HTLV-Ⅰ感染模型的稳定性
Stability of a Class of HTLV-Ⅰ Infection Model with Time Delay
摘要
Abstract
This article mainly studies the stability of the HTLV-Ⅰ(human T-cell lympho-tropic virus)infection model for the CTL(cytotoxic T lymphocytes)immune response of single infected cells,considering the influence of the time of cell infection and infected cellsbeing killed on the model.Using Schauder's fixed point theorem and stability theory of functional differential equations,the conditions for the local stability of the model equilib-rium point under different time delays are obtained.Reasonable parameters are selectedfor numerical simulation and the conclusions are verified.关键词
传染病模型/Schauder不动点定理/时滞Key words
epidemic model/Schauder fixed point theorem/time delay分类
数理科学引用本文复制引用
周贤伟,贺书清..一类具时滞的HTLV-Ⅰ感染模型的稳定性[J].南华大学学报(自然科学版),2025,39(1):77-81,5.基金项目
湖南省自然科学基金项目(2020JJ4516) (2020JJ4516)