中北大学学报（自然科学版）2017，Vol.38Issue(3)：255-259,263,6.DOI:10.3969/j.issn.1673-3193.2017.03.001
一类具有免疫反应和抗逆转录病毒治疗的HIV病毒传染病模型的动力学性态分析
An Epidemic Model Analysis of HIV Virus with Immune Response and Anti-Retroviral Treatment
摘要
Abstract
The dynamical behavior of an epidemic model for HIV with immune response and anti-retroviral treatment was studied.By theoretical analysis, the basic regeneration number R0 of disease was given.There only exists infected-free equilibrium for the model and it is locally asymptotically stable when R0<1.And a unique positive equilibrium also locally asymptotically stable when R0>1.By numerical simulation, it is found that the infected-free equilibrium is global asymptotically stable when R0<1, which means that the disease will disappear.The positive equilibrium is global asymptotically stable when R0>1, i.e., the disease will persist.By analysis, it is found that the effective rate of CTL immune response is higher, the probability of re-infection for CD4+T cells is lower.And the immunity of HIV patients is improved, the spread of virus is controlled effectively.关键词
传染病模型/CTL细胞/免疫反应/抗逆转录病毒治疗/HIV病毒Key words
epidemic model/CTL cell/immune response/anti-retroviral treatment/HIV virus分类
数理科学引用本文复制引用
李桂花,张彩霞..一类具有免疫反应和抗逆转录病毒治疗的HIV病毒传染病模型的动力学性态分析[J].中北大学学报（自然科学版）,2017,38(3):255-259,263,6.基金项目
国家自然科学基金资助项目(11201434) （11201434）
山西省回国留学人员科研资助项目(2013-087) （2013-087）
山西省留学回国人员科技活动择优资助项目 （）
