南华大学学报（自然科学版）Issue(1)：77-83,7.
隐蔽期脉冲输注免疫因子HIV治疗模型的稳定性研究
Stability Study of an HIV Treatment Model with Impulsive Infusing Immune Factors in the Eclipse Phase
摘要
Abstract
In this paper,we consider a class of HIV treatment model with uninfected CD4+T cells,infected CD4+T cells in the eclipse phase and productively infected cells. Then we get the sufficient condition of locally asymptotic stability of uninfected and infected e-quilibriums in the treament model without impulsive infusing immune factors. By using the comparison theorem of impulsive differential equation and Floquent multiplier theory, we obtain the sufficient conditions for the global asymptotic stability of the disease-free period-ic solution in this system with impulsive infusing immune factors and healthy cell survival. Finally,some numerical simulation are carried on to verify the effectiveness of the theoreti-cal results obtained.关键词
隐蔽期/免疫因子/脉冲微分方程/HIV治疗模型/稳定性Key words
the eclipse phase/immune factors/impulsive differential equation/HIV treat-ment model/stability分类
数理科学引用本文复制引用
潘玉娜,朱惠延,丁倩,王海兰..隐蔽期脉冲输注免疫因子HIV治疗模型的稳定性研究[J].南华大学学报（自然科学版）,2014,(1):77-83,7.基金项目
南华大学研究生科研创新基金资助项目(2012XCX05) （2012XCX05）
湖南省自然科学基金资助项目(s2014j5041) （s2014j5041）
