纺织高校基础科学学报2017，Vol.30Issue(3)：325-330,6.DOI:10.13338/j.issn.1006-8341.2017.03.006
具logistic增长的HTLV-Ⅰ模型稳定性分析
Stability analysis of HTLV-Ⅰ model with logistic growth
摘要
Abstract
A HTLV-Ⅰ infection model with logistic growth is established,and the dynamics of the model is studied.The basic reproduction number of virus infection and the basic reproduction number of CTL immune are obtained.By constructing the Lyapunov function,it is proved that infection-free equilibrium P o is globally asymptotically stable if R o ≤1;equilibrium without CTL response P1 is globally asymptotically stable if R 0 ＞ 1 and R 1 ≤ 1;positive equilibrium P2 is globally asymptotically stable if R1＞1.关键词
logistic增长/平衡点/全局稳定性Key words
logistic growth/equilibrium point/global stability分类
数理科学引用本文复制引用
高亚男,胡新利,杨高艳..具logistic增长的HTLV-Ⅰ模型稳定性分析[J].纺织高校基础科学学报,2017,30(3):325-330,6.基金项目
陕西省教育厅自然科学专项基金资助项目(15JK1295) （15JK1295）
陕西省自然科学基础科学研究计划资助项目(2016JQ1029) （2016JQ1029）
